An airplane pilot over the Pacific sights an atoll at an angle of depression of 5 . At this time, the horizontal distance from the airplane to the atoll is 4629 meters. What is the height of the plane to the nearest meter?

Answers

Answer 1

Answer:

404.98 m

Step-by-step explanation:

The angle of depression is 5°

The horizontal distance from the airplane to the atoll is 4629 meters.

We need to find the height of the plane.

If we consider a triangle. 4629 meters will be the base and angle is 5°. Let h is the height of the plane. Using trigonometry to find it :

[tex]\tan\theta=\dfrac{x}{4629 }\\\\\tan(5)=\dfrac{x}{4629 }\\\\x=\tan(5)\times 4629 \\\\x=404.98\ m[/tex]

So, the height of the plane is 404.98 m.


Related Questions

Jane is studying the weather in Alaska. She has recorded the temperature for four days in January, in degrees Fahrenheit, as shown in the table.

Answers

I have attached an image of the complete question.

Answer:

Options A & F are correct

Step-by-step explanation:

From the image attached, we have the following recorded temperature for 4 days in January.

Monday: -5° F

Tuesday: -1° F

Wednesday: 3° F

Thursday: 5° F

Option A is correct because the temperature on Monday and Tuesday is negative and thus below zero.

Option B is not correct because the temperature on Monday and Thursday are not the same since they are -5° F and 5° F respectively

Option C is not correct because the temperature on all days was not above zero since on Monday and Tuesday had negative temperatures

Option D is not correct because the lowest temperature below zero is on Monday and not Thursday

Option E is not correct because the temperature on Wednesday and Thursday are positive and not below zero.

Option F is correct because Monday had a temperature of -5° F which is the lowest gotten below zero

The temperature on Monday and Tuesday is negative and thus below zero.

The temperature on Monday had a temperature -5F which is the lowest value below zero.

Given,

Jane recorded temperature for 4 days in January.

Monday: -5° F

Tuesday: -1° F

 Wednesday: 3° F

 Thursday: 5° F

According to the question,

Compare the temperature from the given value of the temperature.

This statement is the correct because the temperature on Monday and Tuesday is negative and thus below zero.

This statement is not correct because the temperature on Monday and Thursday are not the same since they are -5° F and 5° F respectively.

This statement is not correct because the temperature on all days was not above zero since on Monday and Tuesday had negative temperatures.

This statement is not correct because the lowest temperature below zero is on Monday and not Thursday

This statement is not correct because the temperature on Wednesday and Thursday are positive and not below zero.

This statement is correct. because the temperature on Monday had a temperature -5F which is the lowest value below zero.

For more information about  statement comparison click the link given below.

https://brainly.com/question/15565807

what is | -5 | + 7​

Answers

Answer: 12

Step-by-step explanation:

–2 • 4? what is the anserw do you now

Answers

Answer:

Step-by-step explanation:

-8 because a negative times a positive is a negative so w times 4 equals I and since it’s a negative sign it’s -8

When u multiply by 1 negative your answer will be a negative so your answer will be -8

A dog has a litter of 5 puppies. You plan to adopt 2 of the puppies. In how many ways can you choose 2 of the puppies from the litter?

Answers

Step-by-step explanation:

Number of choices = 5C2 = 5 * 4 / (1 * 2) = 10.

Calculate the value of y

Answers

157 degrees ... set 4x-5 = x+16 then solve, you should get x=7, plug in 7 for one of the equations and you'll get 23. subtract 23 from 180 and get 157. hope that helped :)

Answer:

157°

Step-by-step explanation:

(4x - 5)° = (x + 16)°.. (vertical angles)

4x - 5 = x + 16

4x - x = 16 + 5

3x = 21

x = 21/3

x = 7

(x + 16)° + y ° = 180°...(Linear pair angles)

(7 + 16)° + y° = 180°

23° + y° = 180°

y° = 180° - 23°

y° = 157°

-2(-g + 5)

someone please explain how to simplify then combine like terms

Answers

Answer:

2g-10

Step-by-step explanation:

-2(-g+5)  take the -2 and multiply each term in the ()

-2*-g= 2g  Two negatives multiplied turns it into a positive number

-2*5= -10

The answer is 2g-10

A family has two cars. The first car has a fuel efficiency of 30 miles per gallon of gas and the second car has a fuel efficiency of 15 miles per gallon of gas. During one particular week, the two cars went a combined total of 825 miles, for total gas cumsumption of 40 gallons. How many gallons were consumed by each car

Answers

Answer:

Number of gallons consumed by first car = 15 gallons

Number of gallons consumed by second car = 25 gallons

Step-by-step explanation:

Given that:

Fuel efficiency of first car = 30 miles per gallon

Fuel efficiency of second car = 15 miles per gallon

Total distance traveled = 825 miles

Total gas consumption = 40 gallons

To find:

Number of gallons consumed by each car = ?

Solution:

Let the number of gallons consumed by first car = [tex]x[/tex] gallons

As per question statement, number of gallons consumed by second car:

[tex]40-x[/tex]

Number of miles covered by a car = Fuel efficiency [tex]\times[/tex] Number of gallons consumed

Number of miles covered by first car = 30 [tex]\times[/tex] [tex]x[/tex]

Number of miles covered by second car = 15 [tex]\times[/tex] ([tex]40-x[/tex])

Using the given statement:

[tex]30x+15(40-x)=825\\\Rightarrow 30x+600-15x=825\\\Rightarrow 15x=225\\\Rightarrow x =15\ gallons[/tex]

Therefore, Number of gallons consumed by first car = 15 gallons

Number of gallons consumed by second car = 40 - 15 = 25 gallons

help meeeeeeeeeee its limited

Answers

Answer:

2 2/4

Step-by-step explanation:

add the buttons greater then 1 and it will be 2 2/4

how many times does 10 go into 2280

Answers

Answer:

228

Step-by-step explanation:

which expression can be written as 5x(2+7)

Answers

Answer:

Step-by-step explanation:

5x(2+7)

10x+35x

45x

There are no choices. But above is the answer if I need to solve it.

Answer: -25x

HOPE THIS HELPS

12. Four shovels of sand are used for every 5 shovels of gravel in making concrete.
How much gravel is needed for 64 shovels of sand?

Answers

Answer:

80

Step-by-step explanation:

64s : Xg

4s.Xg = 5g.64s

X = (5g*64s)/4sg

= 5*64/4

= 5*16

= 80

A 24 oz. bottle of pop costs $2.25. What is the price per ounce? How did you get that answer?

Answers

the answer is 10cents i think.. i used decision

Answer:10.07

Step-by-step explanation: I got my answer by dividing 24 and 2.25. First, I set up my equation, 24 / 2.25. Then, i multiply 2.25 by 10, which was 22.5. Then i subtracted, which was 1.5 then i bring down my 0. 2.25 doesnt go into 1.50 so I add a 0. then i bring down a 0.

Pleaseeeee answer correctly !!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!

Answers

Answer:

45 miles

Step-by-step explanation:

Use the Pythagorean Theorem. Imagine a line connecting the ends of the right angle you made by driving. It would make a right triangle. You are trying to find the hypotenuse. Use the formula [tex]a^{2} +b^{2} =c^{2}[/tex]. Square 27, or multiply 27 by 27, to get 729. Add this to the square of 36, 1296. So [tex]c^{2}[/tex] = 2025. Find the square root of 2025. [tex]\sqrt{2025}[/tex] = 45. Hope this helped ^^

what number increased by 62%, results in the value of 59.94

Answers

Answer:

The number is : x = 37

Step-by-step explanation:

In order to solve this question, we may set up a proportion.

If the original number is 100%, 59.94 would be 162% of the original, as it was increased by 62%.

so

59.94 → 162%

x → 100%

solving the proportion gives you  

59.94 × 100 = 162 × x

x = (59.94 × 100)/162

x =  5994/162

x= 37

Thus, the number is : x = 37

The graph below show the cost of tomato plants for each purchased. What is the cost of one tomato plant

Answers

Answer:

There is no phone...so i dont know what the numbers are....

Step-by-step explanation:

quien me ayuda por favor no se como hacerlos

Answers

Que? Which one are u trying to figure out
Sorry I don’t speak Spanish

While shopping for a speaker, you see a discount.

What expressions can be used to find the total discount?

Select all the correct methods that apply (3).


0.3 * 42.00
3/10 * 42
0.03 * 42
3 * 4.2
30 * 42

Answers

0.3
3/10
0.03

Hope this helped

Solve the following: Eric’s father works two part-time jobs, one in the morning and one in the afternoon, and works a total of 40 hours each 5-day workweek. If his schedule is the same each day, and he works 3 hours each morning, how many hoursdoes Eric’s father work each afternoon?The equation for this math problem is 5(a +3) =40 What does the 5 represent? * What is a?

Answers

43 is the correct anwser to probelm

What is the 5th term of an arithmetic sequence of 20 terms with first and last terms of 2 and 59, respectively

Answers

Answer:

14

Step-by-step explanation:

aₙ = a₁ + (n-1)*d

59 = 2 + (20-1) * d

59 = 2 + 19d

19d = 59-2 = 57

d = 3

5th term: a₅ = 2 + 4 * 3 = 14

Answer:

14

Step-by-step explanation:

The number of people call 911 on March 25th?
A) continuous
B) discrete
C) categorical

Answers

Answer:

I think the answer is continuous hope this helps

Step-by-step explanation:

Also got subscribe to my YT channel BlxeVxbes

please help me with my math

Answers

Answer:

22

Step-by-step explanation:

22 - 19 = 3

3 times -6 = -18

Hope this helps!!

why is b the answer ???????????????????/

Answers

Answer:

Step-by-step explanation:

its b cuz when u replace any value of x from B to the equation, the value of y satisfies the values of y in B. For instance

y = 4 * -3 + 2

= -10

the value of y is -10 which satisfies the value of y in B but when u use a value of another table suppose A it would be,

y = 4 * 7 + 2

= 30

but the value y corresponding to the value of x we used is not 30

HOPE IT HELPED

The GCF of 36 uw 3y and 45 u 2y is _____. 9 uy 3 uy 1,620 u 2w 3y 180 u 2w 3y

Answers

Given:

[tex]36uw^3y[/tex] and [tex]45u^2y[/tex]

To find:

The GCF of given expressions.

Solution:

The factor forms of given terms are:

[tex]36uw^3y=2\times 2\times 3\times 3\times u\times w\times w\times w\times y[/tex]

[tex]45u^2y=3\times 3\times 5\times u\times u\times y[/tex]

Now, greatest common factor (GCF) of given terms is

[tex]GCF(36uw^3y,45u^2y)=3\times 3\times u\times y[/tex]

[tex]GCF(36uw^3y,45u^2y)=9uy[/tex]

So, the GCF of given terms is 9uy.

Therefore, the correct option is A.

PLEASE HELP! If I add five to a mystery number and then multiply the result by two, I get twenty four. Write an equation to solve for the mystery number, solve the equation and then check your answer.

Answers

Answer:

The mystery number is 7

Step-by-step explanation:

This is a very easy problem.

let the mystery number=x

2(x+5)=24

2x+10=24

2x=24-10

2x=14

x=7

To check the answer,

Add 5 to 7=12, multiply by 2=24

3 values greater than |-3.5|

Answers

Answer:

6.5

Step-by-step explanation:

3.5 + 3

Answer:

6.5

Step-by-step explanation:

I-3.5I = 3.5

3.5 + 3 = 6.5

Check Work:

6.5 - 3.5 = 3

or

I-3 - 3.5I = I-6.5I = 6.5

It’s algebra one please help

Answers

Answer: I'm gonna say (3,-2)

Step-by-step explanation: my best guess, bc they intersect

Is this true or false? The following graph represents a proportional relationship
A. True
B. False

Answers

Answer:

True

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

in the expression 15- the sum of 6 and. 7 do you add or subtract first

Answers

Answer:

Add

Step-by-step explanation:

By the way this question was worded, I'm going to say add. If I were to write the expression out, I personally would write it like this:

[tex]15-(6+7)[/tex]

And parentheses always occur first.

Hope this helps!

30/90= ?/18 please help i don’t know how to do this.

Answers

Answer:

6

Step-by-step explanation:

30/90 is 1/3.   1/3 is equal to 6/18

Hope that helpsssss :DD

Answer:

6

Step-by-step explanation:

30/90 = 1/3

If you multiply 6 by 3, you get 18

A family restaurant chain wants to test the market for a new menu item: a grilled chicken sandwich with chipotle salsa. They are interested in both how to market the item and the right price to charge for it. They decide to offer the sandwich at 60 different restaurants in the chain, using two different descriptions on the menu. Half the restaurants' menus will emphasize "healthy eating" and half will emphasize "value." These two groups of restaurants will be further divided in three groups, each charging either a High, Medium, or Low price for the sandwich. After a month, they will measure what proportion of customers order the new sandwich.

Answers

Answer:

Experimental units, factors & treatments in experiment.

Step-by-step explanation:

Experimental Units are the 60 restaurants.

Factors are the : Menu description & price

Treatments in experimental design : Healthy Low Price, Healthy Medium Price, Healthy High price & Value low price, Value medium price, Value high price.

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