A helicopter is flying at an altitude of 306 meters, at an angle of depression of 38° to its landing pad. What is the distance d between the helicopter and the landing pad? Round your answer to the nearest whole number.

A Helicopter Is Flying At An Altitude Of 306 Meters, At An Angle Of Depression Of 38 To Its Landing Pad.

Answers

Answer 1

Answer:

497 m

Step-by-step explanation:

Use tigonometry to find the value of d

sine = opposite side / hypotenuse306/d = sin 38°d =306/sin 38° d = 497 m (rounded)
Answer 2

Answer:

497 m (nearest whole number)

Step-by-step explanation:

As the problem has been modeled as a right triangle, we can use the sine trigonometric ratio to find the distance d.

Sine trigonometric ratio

   [tex]\sf \sin(\theta)=\dfrac{O}{H}[/tex]

where:

[tex]\theta[/tex] is the angleO is the side opposite the angleH is the hypotenuse (the side opposite the right angle)

From inspection of the given diagram:

[tex]\theta[/tex] = 38°O = 306 mH = d

Substitute the values into the formula and solve for d:

[tex]\implies \sf \sin(38^{\circ})=\dfrac{306}{H}[/tex]

[tex]\implies \sf H=\dfrac{306}{\sin(38^{\circ})}[/tex]

[tex]\implies \sf H=497.0263891...[/tex]

Therefore, the distance d between the helicopter and the landing pad is 497 m (nearest whole number).


Related Questions

Please help with the proportions word problem!!

Jillian wants to buy an $80 pair of boots. Before she can, the store raises the price by $24. By what percentage did they raise the price? Use proportions to solve the problem.

Answers

Answer:

30%

Step-by-step explanation:

the percent of 24 of 80 is 30% so they rasid the price 30% percent of 80

6th grader here sorry if wrong

All you need to is 80-24=56 so your answer is 56

At Fairview Middle School, 75 band members need to raise a total of $8,250 for a trip. So far, they have raised $3,120.

How much money, in dollars, per band member, still needs to be raised for the trip?



The entire band decides to have a concert to raise the money for the trip. Tickets for the concert will cost $7.50 each.

A local business agrees to donate an additional $0.50 for each $1.00 in ticket sales to the band for their trip.What is the least number of concert tickets the band must sell in order to raise the rest of the money needed for the trip?

Answers

How much money, in dollars, per band member, still needs to be raised for the trip?

$68.40

A local business agrees to donate an additional $0.50 for each $1.00 in ticket sales to the band for their trip. What is the least number of concert tickets the band must sell in order to raise the rest of the money needed for the trip?

456 tickets

A company promises to release a new smartphone model every month.Each models battery life will be 3% longer than the previous models. If the current models battery life is 684.0 minutes , what will the latest models battery life be 7 months from now ?

Answers

Using an exponential function, it is found that the latest models battery life will be of 841 minutes 7 months from now.

What is an exponential function?

An increasing exponential function is modeled by:

[tex]A(t) = A(0)(1 + r)^t[/tex]

In which:

A(0) is the initial value.r is the decay rate, as a decimal.

In this problem, considering that the current battery life is of 684 minutes, and it should increase by 3% each month, the equation for the battery life after t months is given by:

[tex]A(t) = 684(1.03)^t[/tex]

Then, in 7 months, it will be given by:

[tex]A(7) = 684(1.03)^7 = 841[/tex]

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Dr. Smith, a biology professor at Bradford University, has decided to give his classes a standardized biology exam that is nationally normed. This indicates that the normal distribution is an appropriate approximation for the probability distribution of students’ scores on this exam. The probability distribution of students’ scores on this standardized exam can be estimated using the normal distribution shown below.

X
X
Inflection Point
Inflection Point
70
78
86
State the mean of the distribution of the biology exam scores.

State the standard deviation of the distribution of the biology exam scores.

Grading Curve Option I
Originally, Dr. Smith decides to curve his students’ exam grades as follows.

Students whose scores are at or above the percentile will receive an A.

Students whose scores are in the – percentiles will receive a B.

Students whose scores are in the – percentiles will receive a C.

Students whose scores are in the – percentiles will receive a D.

Students whose scores are below the percentile will receive an F.

Find the z-scores that correspond to the following percentiles.

percentile

percentile

percentile

percentile

Using that information, find the exam scores that correspond to the curved grading scale. Assume that the exam scores range from 0 to 100. (Round to the nearest whole number.)

A:     –

B:     –    

C:     –    

D:     –    

F:     

Answers

For inflection Points of

707886

The mean and standard deviation are is mathematically given as

x=78

sigma=8

What is Normal distribution?

Normal distribution is simply a symmetrical bell-shaped graph that displays the distribution of numerous random variables.

Generally, the equation for the  mean is mathematically given as

x=total sum /amount

Therefore

x=70+78+80/3

x=78

In conclusion, Inflexion point for normal distribution is given as

[tex]I=\mu+\sigma\\\\\mu+\sigma=86[/tex]

Also

[tex]\mu-\sigma=70[/tex]

Therefore

[tex]78+\d\sigma=86[/tex]

sigma=8

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Write the quadratic equation in standard form: -7x+11= −2x^2

Answers

Answer:

[tex]x=\frac{7-\sqrt{137} }{4} =-1.76[/tex]

Step-by-step explanation:

Eric and James are looking at this number sequence: 4, 8, 20, 56, 164. What must they do to find the term-to-term rule?

Answers

Answer:

[tex]f(n)=f(n-1) + 4(3)^{n-2}[/tex]

[tex]\textsf{where}\quad f(1)=4[/tex]

Step-by-step explanation:

Given sequence:  4, 8, 20, 56, 164

First, work out the difference in the terms:

[tex]4 \underset{+4}{\longrightarrow} 8 \underset{+12}{\longrightarrow} 20 \underset{+36}{\longrightarrow} 56 \underset{+108}{\longrightarrow} 164[/tex]

As the first differences are not the same, work out the second differences:

[tex]4 \underset{\times 3}{\longrightarrow} 12 \underset{\times 3}{\longrightarrow} 36 \underset{\times 3}{\longrightarrow} 108[/tex]

Therefore, the term-to-term rule is:

[tex]f(n)=f(n-1) + 4(3)^{n-2}[/tex]  

[tex]\textsf{where}\quad f(1)=4[/tex]

[tex]f(2)=f(1) + 4(3)^{2-2}=4+ 4(3)^{0}=4+4=8[/tex]

[tex]f(3)=f(2)+4(3)^{3-2}=8+4(3)^1=8+12=20[/tex]

[tex]f(4)=f(3) + 4(3)^{4-2}=20+4(3)^2=20+36=56[/tex]

[tex]f(5)=f(4) + 4(3)^{5-2}=56+4(3)^3=56+108=164[/tex]

(WILL GIVE BRAINLIEST TO CORRECT ANSWER)

Below is a table showing the maximum distance over time that an Adélie penguin can walk.

The distance that an emperor penguin can walk over a period of time is represented by the equation d=1.7t

A. Which penguin species has a faster maximum walking speed? Show your work.

B. Approximately how long would it take the fastest penguin from both species to walk 3 miles? Show your work

Answers

Answer:The penguin will walk 75.15 feet in 45 seconds.

It will take the penguin 26.95 seconds to walk 45 feet.

Through cross multiplication we can determine the unknown quantity we need

Step-by-step explanation:

Which medical professional or service treats severe medical needs?

emergency room
pregnancy center
medical specialist
general practitioner

Answers

Answer:

emergency room

Step-by-step explanation:

well the most severe medical cases come from immediate accidents and for that you go to the emergency room

(correct me if I'm wrong)

Emergency room treats severe medical needs.

Given,

Treatment of severe medical needs.

Now,

Emergency room treats the person having critical illness which requires instant medication .

For example :

If a person met with an accident then the medication must be provided instantly so that the person can survive . Instant medication will be provided under emergency rooms .

Therefore option A is correct .

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The population density of a city is 121 residents per square mile. There are exactly 4,205 that live in the city.

What is the area of the city?

Answers

Answer:

34.75 ( that's round to the nearest hundredth )

Step-by-step explanation:

do the math

Witch expression makes the equation true for all values of x? 15x - 15 = 5(?)
A. 3x - 3
B. 3x- 15
C.5x-5
D.12x-1

Answers

The expression that will make the algebraic equation true for all values of x is: A. 3x - 3.

What is a True Algebraic Equation?

An algebraic equation is an equation where for a value of x, the right side and the left side of the equation must be balanced.

Given the algebraic equation, 15x - 15 = 5(?)

The missing expression, is 3x - 3, because:

15x - 15 = 5(3x - 3)

Open the bracket

15x - 15 = 15x - 15

Both sides are equal.

Therefore, the expression that will make the algebraic equation true for all values of x is: A. 3x - 3.

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Riley and her friends buy snacks at the movies. They buy 3 pretzels and 4 drinks for $17.50. The cost of a pretzel is the same as the cost of a drink. The situation can be represented by the graph and the system of equations shown, where p is the cost of a pretzel and dis the cost of a drink. I a. What is the cost of each pretzel? What is the cost of each drink? Show your work.​

Answers

Answer:

Each costs $2.50

Step-by-step explanation:

Given

Cost of 3 pretzels and 4 drinks = $17.50p = d

Solving

3p + 4d = 17.50But, p = d3d + 4d = 17.507d = 17.50d = $2.50p = $2.50

Drag the tiles to the correct boxes to complete the pairs.
Match each object with the characteristic it represents.

a broom handle
the letter T
a sun ray
a cookie crumb
the horizon
rows of seats on
an airplane




ray
line segment
point
line
perpendicular lines
parallel lines

Answers

Answer:

a broom handle - line segment

the letter T - perpendicular lines

a sun ray - ray

a cookie crumb - point

the horizon - line

row of seats of airplane -  parallel lines

Step-by-step explanation:

a broom handle is straight and has a beginning and end, same goes for a line segment

the letter T has two lines that intersect with one another, these lines are perpendicular

a sun ray is well, a ray

a cookie crumb is small and round, similar to a point

lines do not have a beginning or end, like the horizon line

and the row of seats on an airplane all line up together like lines that are parallel.

Hope this helps :)

Eighth grade

CC. 14 Box plots Y Z

Mrs. James, a sixth grade teacher, recorded how many minutes each student reported

reading over winter break.

Time spent reading (min. )

+

0

100

200

300

400

500

What was the upper quartile of the time spent reading?

minutes

Submit

Answers

The upper quartile of the time spent reading, as shown in the box plot is: 300.

What is the Upper Quartile of a Data in a Box Plot?

In a box plot, the upper quartile is represented by the data point located at the end of the edge of the rectangular box in the box plot.

In the box plot, 300 is the value located at the end of the edge of the rectangular box.

Therefore, the upper quartile of the time spent reading, as shown in the box plot is: 300.

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Pleaseeeeeeee i need some help hereeeeeeee

Answers

Answer:

Attached image

Step-by-step explanation:

Convert 3/4 to 6/8, then count out the points on the line for each number to plot it.

Answer:

There are 8 tick marks, so......

2.75 would go on the 6th tick mark between 2 and 3

1.625 would go on the fifth mark between 1 and 2

For clarification, I have graphed it out below!

Hope this helps!

45N,30N what is the resulant force on the boat

Answers

Answer:

15N.

Step-by-step explanation:

45 - 30

= 15N.

Answer:

15

Step-by-step explanation:

45N - 30N = 15N

The resultant force on the boat is 15N.

Rules for basic algebra needed

Answers



There are five basic rules of algebra.
...
They are:
Commutative Rule of Addition.
Commutative Rule of Multiplication.
Associative Rule of Addition.
Associative Rule of Multiplication.
Distributive Rule of Multiplication

help me solve and explain this

Answers

Answer:

B because the length of R to U is 6x5

A. Dilation

B. Rotation

C. Reflection

D. Translation

Answers

Answer:

Reflection

Step-by-step explanation:

Figure 1 was reflected accross the y axis :)

Have an amazing day!!

Please rate and mark brainliest!!

BRAINLIEST TO WHOEVER GET IT RIGHT
What are the solutions to the system of equations graphed below?
in picture below:)

Answers

Answer:

hey there!

Step-by-step explanation:

your answer should be the first one (0,4 and 2,0)

hope its help yayayayayou

A cylinder has a height of 20 inches and a radius of 19 inches. What is its volume? Use ​ ≈ 3.14 and round your answer to the nearest hundredth.?????????HELP PLEASEEEEEEEEEEE

Answers

Answer:

22670.8 :D

Step-by-step explanation:

Volume of a cylinder: 3.12(r^2)h

Now lets solve :)

3.14(19^2)20

3.14(361)20

(1133.54)20

22670.8 :)

Have an amazing day!!

Please rate and mark brainliest!!

Help me please, (b) ​

Answers

Answer:Aob is in the center

Step-by-step explanation:You see x and y are parallel across from each other, and u v are the same. A O B is recorded in the center.

I NEED HELP PLS (what percentage of 6th graders are boys?)

Answers

Answer:

50%

Step-by-step explanation:

its going up by 10% so its 50% the bar on boys in 6th graders is on 50%

1,945x46 multiplying multiplication

Answers

Answer:

89,470

Step-by-step explanation:

What is the average rate of change?

A. 4

B. 2/5

C. 1

D. 2​

Answers

Answer:

C) 1

Step-by-step explanation:

The average rate of change remains constant among the 3 given points as [tex]\frac{5-4}{2-1}=1[/tex] and [tex]\frac{10-5}{7-2}=1[/tex], so your answer is C

Seven people are going to share an 84-ounce bottle of soda. How many ounces will each person get to drink?

Answers

Answer:

12

Step-by-step explanation:

84/7 = 12

Each person will get 12 ounces to drink.

just divide 84/7 and that equals 12 i hope you get your work done soon enough

What is the value of x?

Answers

The value of x = 19

Because what you do is

WPS +SPT =180
5x+37 +3x-9 =180

5x+3x = 8x
37-9=28

So
8x+28=180

8x = 180-28 = 152

X= 152/8

X=19


Do you have any doubts now ?
Hopefully you can do problem like this in the future ...

Good luck

5.5 - Solving Quadratic Equations - Perfect Square Trinomials and Difference of Squares
Factor the following if they are a perfect square trinomial or a difference of squares.
a) x^2 + 24x + 144 = 0
b) 9x^2 - 36x + 36 = 0
c) x^2 - 64 = 0
d) 4x^2 - 81 = 0

Answers

Answer:

Step-by-step explanation:

(a²-2ab+b²)=(a-b)²

a²+2ab+b²=(a+b)²

i solve b and d

(b)

9x²-36x+36=0

(3x)²+2×3x×-6+(-6)²=(3x-6)²

(d)

a²-b²=(a+b)(a-b)

4x²-81=0

4x²-81=(2x)²-9²=(2x+9)(2x-9)

hello please help with number 14 and 15 thank you 20 points and will be brainliest if its right thank you

Answers

14)
0.5 *(8+x)=25
8+x = 50
X= 42

15)
165 = 5(16+x)
33 = 16+x
X= 17

14)

The missing value is 42.

15)

The missing value is 17.

What is an expression?

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

14)

0.5 x ( 8 + ___ ) = 25

We will write in terms of x.

0.5 x (8 + x ) = 25

8 + x = 25/0.5

8 + x = 50

x = 50 - 8

x = 42

15)

165 = 5 x ( 16 + __ )

We will write in terms of x.

165 = 5 x ( 16 + x )

165/5 = 16 + x

x = 33 - 16

x = 17

Thus,

The missing value of x is 42 and 17.

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2. Find the slope of this line.

Answers

Answer:

Answered below

Step-by-step explanation:

Slope = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

You need 2 coordinates from your graph as long as the line you have is completely straight. You have 2 points it is (0,3) & (8,0)

So your y2 is 0

y1 is 3

So your x2 is 8

x1 is 0

Plug in and solve (keep in mind you should be expecting a negative slope since your line is sloping downwards as you advance to the right.

m = (0-3)/(8-0)

m = -3/8

m = slope = -3/8x = -0.375x

Slope is given as a number followed by value x

PLEASE ANSWER ASAP WILL REWARD!
Find the formula for an inverse proportion, knowing that its
graph goes through the point:
C(-25, -0.2)

Answers

The formula for an inverse proportion, knowing that its graph goes through the point: C(-25, -0.2) is y=5/x.

What is inversely proportional relationship?

Let m and n are two variables.

Then m and n are said to be inversely proportional to each other if

[tex]m = \dfrac{c}{n} \\\\ \text{or} \\\\ n = \dfrac{c}{m}[/tex]

(both are equal)

where c is a constant number called constant of proportionality.

This inversely proportional relationship is denoted by

[tex]m \propto \dfrac{1}{n} \\\\ \text{or} \\\\n \propto \dfrac{1}{m}[/tex]

As visible, increasing one variable will decrease the other variable if both are inversely proportional.

The formula for the inverse function is given as,

[tex]y=\dfrac{c}{x}[/tex]

Here, c is constant.

The graph goes through the point: C(-25, -0.2). For the inverse function.

[tex]-25\propto\dfrac{1}{-0.2}\\-25=\dfrac{c}{-0.2}\\c=-25\times-0.2\\c=5[/tex]

Put the value in the above function,

[tex]y=\dfrac{5}{x}[/tex]

This is the required function.

Hence, the formula for an inverse proportion, knowing that its graph goes through the point: C(-25, -0.2) is y=5/x.

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The graph of the relation H is shown below.Give the domain and range of HWrite your answered using set notation If x is directly proportional to y, and x = 4.5 when y = 3, find (i) an equation connecting x and y(ii) the value of x when y = 6,(iii) the value of y when x = 12. WILL GIVE BRAINLIESTWhat is a basic definition of wind?Question 4 options:Air that is moving below 60 mph.Air that is moving above 15 mph.Air that s moving primarily in a vertical direction.Air that is moving primarily in a horizontal direction. Sarah paid $3.84 for 32 ounces of carrots. Sue paid $5.20 for 40 ounces of carrots. Who paid less per ounce?A. SueB. They paid the same amount per ounce.C. Sarah(Will mark brainliest and pls fast) The point B is at the centre of the circle. The points P and Q are on the circumference of the circle. Calculate the area of the shaded sector. Take it to be 3.142 in your working. Give your final answer to 1 decimal place. What can be inferred from the excerpt? nonstandard forms of english can be as effective as the standard form of english. nonstandard forms of english limit a speakers ability to stand up for herself. nonstandard forms of english make communication difficult between cultures. nonstandard forms of english are used more by older adults than by younger adults. Here are some milestones in the development of technology used bygeographers. Put them in the order in which they appeared in history.AstrolabeNavigational compassAircraftCartography How many inches apart should the feet be to maintain a broad base of support? A chiropractor, in an intentional attempt to falsely get Medicare Program money, billed medically unnecessary services and falsified the beneficiarys Medicare claim diagnosis. Depending on the facts and circumstances, she most likely committed __________. Select the details from the text that support the main ideas that Mount Everest is popular with climbers and non-climbers, and Mount Everest's popularity has impacted the environment.A) Every year more and more people flock the mountain, but not everyone goes there to climb. In recent years, climbers and guides have removed more than 16 tons of litter from Everest. B) Portable burners and lightweight pots are needed for cooking on the mountain. Modern transportation allows tourists and adventure seekers to fly into nearby cities. C) The first climbers to summit Everest were New Zealander Edmund Hillary and Tenzing Norgay. In 1979, the area surrounding Everest was designated as a natural world heritage site. D) The government requires climbers to purchase a climbing permit. Large numbers of climbers on the mountain at once can be unsafe. PLEASE HELP A ranger at a local park wants to know which type of trees the park's visitors would like to have planted in the park. She conducts a survey. Which of these methods will produce the most representative sample of the people who visit the park?A. The ranger surveys all the children who enter the parkB. The ranger surveys all the people who come to the park to watch birdsC. The ranger randomly selects days of the week and surveys each person who enters the park on those daysD. The ranger surveys people who camp overnight in the park If 12% of a number is 30, find 4% of that number. How is the male reproductive system different from other body systems?It is not necessary for an individual's survival.It monitors other body systems, and adjusts if necessary.It transports items from one system to another.It is the only system that produces hormones in the male. TIME REMAINING01:32:39Which of the Earths spheres is composed of all the water on the planet, including oceans, seas, and rivers?A.the hydrosphereB.the atmosphereC.the biosphereD.the lithosphere What is the topic of your virtual exhibit? what is the purpose of your virtual exhibit? Find the volume of the rectangular prism the family that prays together stay together speech Two problems faced by president Abraham Lincoln in 1861? HELP! Amber was asked to solve the following inequality and show all of her work. She made an error when solving.2x 3.5 10.52x 3.5 3.5 10.5 3.52x 72x 7(2)x 14- A description of what Amber did wrong and what he should have done instead- Your work solving the inequality The perimeter of the rectangle below is 222 units find the length of side RS