PLEASE HELP! TRIGONOMETRY:
A passenger in an airplane at an altitude of 10 kilometers sees two towns directly to the east of the plane. The angles of depression to the towns are 24° and 53° (see figure). How far (in km) apart are the towns? (Round your answer to one decimal place.)

PLEASE HELP! TRIGONOMETRY: A Passenger In An Airplane At An Altitude Of 10 Kilometers Sees Two Towns

Answers

Answer 1

Using relations in a right triangle, it is found that the distance between the towns is of 15 km.

What are the relations in a right triangle?

The relations in a right triangle are given as follows:

The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.

For the first town, we have that:

The internal angle of the triangle 90 - 53 = 37º.The opposite side to the angle is the horizontal position xA.The adjacent side to the angle is of 10 km.

Hence:

tan(37º) = xA/10

xA = 10 x tan(37º).

xA = 7.5 km.

For the second town, we have that:

The internal angle of the triangle 90 - 24 = 66º.The opposite side to the angle is the horizontal position xB.The adjacent side to the angle is of 10 km.

Hence:

tan(66º) = xB/10

xB = 10 x tan(66º).

xB = 22.5 km.

Hence the distance is:

22.5 km - 7.5 km = 15 km.

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Related Questions

PLSS HELP

Station G: Long Jump'
The track and field coach has to select a girl for the long jump at the regional championship. Three girls are in
contention. The results of a school jump-off, in meters, are given in the accompanying table


1. Who do you think should go to the championship? Write a letter to the coach with your decision and an
explanation of your reasoning.

Answers

Using the mean concept, it is found that due to the highest average, Priya should go to the championship.

What is the mean?

The mean of a data-set is given by the sum of all observations in the data-set divided by the number of observations.

Each of the girls had 6 jumps, and their means all given as follows:

Elena: (3.25 + 3.95 + 4.28 + 2.95 + 3.66 + 3.81)/6 = 3.65.Jada: (3.55 + 3.88 + 3.61 + 3.97 + 3.75 + 3.59)/6 = 3.73.Priya: (3.67 + 3.78 + 3.92 + 3.62 + 3.85 + 3.73)/6 = 3.76.

Due to the highest average, Priya should go to the championship.

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What is the line called that intersects lines l and m in the picture above?
(Click document to see image.)

Answers

Answer: It's just a line

Step-by-step explanation:

can someone derive f(x) = x using first principles method. Like I know the answer is 1 and can do it by power rule but i cannot get that answer for the life of me using first principles method.

fyi first principles function is in the pic

Answers

The derivation by definition of f(x) = x, that is, f'(x) = 1, is found in this problem.

How to find the derivative of function f(x) by the definition?

The derivative is given by:

[tex]f^{\prime}(x) = \lim_{h \rightarrow 0} \frac{f(x + h) - f(x)}{h}[/tex]

For this problem, we have that:

f(x) = x.f(x + h) = x + h.

Hence:

[tex]f^{\prime}(x) = \lim_{h \rightarrow 0} \frac{x + h - x}{h}[/tex]

[tex]f^{\prime}(x) = \lim_{h \rightarrow 0} \frac{h}{h}[/tex]

[tex]f^{\prime}(x) = \lim_{h \rightarrow 0} 1[/tex]

The limit of a constant is the constant, hence f'(x) = 1.

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1 1/2 - -3/5 + 1 1/4

Answers

Answer:

3.35

Step-by-step explanation:

mark me brainliest pls

Simplify the expression

Answers

Answer:

Step-by-step explanation:

Factor out 2 of 12: (2(6x)-6)/2

Factor out 2 of -6: (2(6x)+2*-3)/2

.......

Final = 6x-3

in triangle jkl and triangle pqr

Answers

Answer: True!

Hope this helps!

Helloooppoooooopooooooooopo

Answers

Step-by-step explanation:

First one is 4,713,354

And for the second one I'm just going to assume that the sum of those 2 numbers on the right side is the answer.

So 1,377,136 for bottom one.

a jeweler has 36 inches of silver chain. She needs 5 times that much to make some necklaces and 3times that amount to make some bracelets.

Answers

Eight amount is required to make various bracelets.

What in Maths do you mean by amount?

A quantity, the total of two or more quantities, or an amount is generally used. When calculating the total amount of money after applying interest (either simple or compound), we typically use the term "amount" in mathematics.

the total is equal to the sum of the principal and interest.

According to the above statement,

Given,

Jeweler's 36-inch silver chain is available.

She needs five times as much, or 5 x 36, to make some necklaces.

To create some bracelets, she will require three times that much,

3×36

=108

Length of a silver chain =36 inches

Total chain required=(180+108)÷36

=288÷36

=8

Therefore he needs 8 chains to make necklace and bracelets.

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3x - 7x-16 = - 4x + 5 - 16

Answers

Answer:

no solution

Step-by-step explanation:

3x - 7x - 16 = -4x + 5 - 16

combine like terms

-4x - 16 = -4x - 11

move the terms with variables to one side and constants to the other

add 4x to move it

-4x + 4x = 0

-16 = - 11

this is not possible so there is no solution

Answer:

0=5

Step-by-step explanation:

3x - 7x - 4x + 5 - 16

-4x - 16 = -4x + 5 -16

-4x - 16 = -4x -11

-4x -16 + 16 = -4x - 11 + 16

-4x = -4x + 5

-4x + -4x = -4x + 5 + 4x

combine like terms

repeat that

0 = 5

please correct me if I'm wrong

describe a real-life situation that could be represented by the expression 3+2x6​

Answers

Answer:

"Margaret is at a birthday store. She wants to buy 3 candles and 2 balloons. She then realizes that she wants to throw an even bigger surprise party, so she buys 6 fold of her original items. How many candles and balloons did she buy in split amounts?"

In a class of 25 students, 12 are boys. what part of class is boys? girls?

Answers

there are 12 boys and 13 girls.

What is 0.5x + 15 = 18

Answers

I hope this helps you

2/5a - 3/4b =c solve for a

Answers

The equation (2/5)*a - (3/4)*b = c solved for the variable a is:

a = (5/2)*(c + (3/4)*b)

How to solve the equation for a?

Here we have the equation:

(2/5)*a - (3/4)*b = c

Where a, b, and c are variables.

Here we want to solve this equation for the variable a, this means that we need to isolate that variable in one side of the equation, so let's do that.

First, we need to remove the other term, then we can add its opposite in both sides of the equation so we get:

(2/5)*a - (3/4)*b + (3/4)*b = c + (3/4)*b

(2/5)*a = c + (3/4)*b

Now we need to remove the factor that multiplies the variable, we can do that by multiplying both sides of the equation by its inverse, whic is 5/2, if we do that we will get:

(5/2)*(2/5)*a = (5/2)*(c + (3/4)*b)

a = (5/2)*(c + (3/4)*b)

This is the equation solved for the variable a.

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y = 6x – b

–3x + StartFraction one-half EndFractiony = –3

b =

2
4
6
8

Answers

the answer is 6. please mark brainliest

find the distance between the points (5, 7) and (5, -3)

Answers

Answer:

The distance is 10

Step-by-step explanation:

Use the divided by 10 pattern to fill in the blank

Answers

The value of 400 when it is divided by 10 will be 40.

Division is the one of the four fundamental arithmetic operations. The other operations include multiplication, addition, and subtraction.

It is denoted by " ÷ " sign

For example: 4 ÷ 2 = 2,  18 ÷ 6 = 3, 50 ÷ 1 = 50, 40 ÷ 4 = 10, 66 ÷ 3 = 22, 999 ÷ 9 = 111 or 90 ÷ 3 = 30

The division will be calculated as below:-

We will divide 400 by 10 to obtain the required value.

Division = 400 ÷ 10

Division = 40

Therefore, the value of 400 when it is divided by 10 will be 40.

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Your question was incomplete. Please refer the content below:

Use the divided by 10 pattern to fill in the blank:

400

Painted Cubes
Imagine that we paint a 4 x 4 x 4 cube blue on every side.
How many of the small cubes have 3 blue faces?
How many have 2 blue faces?
How many have 1 blue face?
How many faces would be painted in a cube of any size?
How many have not been painted at all?

Answers

If  we paint a 4 x 4 x 4 cube blue on every side then we will get 8 small cubes having 3 blue faces, 16 cubes having 2 blue faces, 24 cubes with 1 blue face, 6 faces would be painted in a cube of any size and 8 cubes have not been painted at all.

Elaborate the answer that is obtained above.

Corner cubes are the only ones with 3 faces, whereas a cube has 8 corners. There are therefore 8 cubes with 3 blue faces.

Each of the 16 cubes has 2 blue faces. These are the cubes found between the sides' corners.

The 4 center cubes have only 1 side painted. Because each side has six sides and four center cubes, 6 x 4 = 24. As a result, 24 cubes have 1 blue face.

Because a cube has 6 faces, every size cube will have at least 6 colored faces.

On the inside of the larger cube, there are exactly 8 cubes. As a result, 8 cubes have been left unpainted.

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PLEASE HELP! What is 2 x 2!
I cannot figure this out!

Answers

Answer:

4

Step-by-step explanation:

2*2=4

Hope this helps!

:)

Answer: Monke.

Step-by-step explanation:

get good.

Help?? I’ll give brainliest :)

Answers

Answer:

31) C, D, F
32) B
33) A, F
34) D, E
35) D

Step-by-step explanation:

Adjacent angles are angles that share the common vertex and side.
Vertical Angles are angles that are opposite of each other.
Complementary Angles are angles that equal to 90°
Supplementary Angles are angles that equal to 180°
A Linear Pair are 2 angles that make up a straight line.

SOMEBODY PLEASE HELP HOLY SH1T WHAT DO I CIRLCE

Answers

Answer:

1. p, 7p, -4p, and 5p

2.2uv to the second power, and uv to the second power

Step-by-step explanation:

Example 1 ans needed

Answers

We are given a linear function:

f(x) = 2 x + 3

We are also given the domain of the function as:

Domain = (-4, 5)

We need to find the range of the function and draw its graph.

For x = -4, the value of function will be:

f( -4) = 2 (-4) + 3

f( -4) = - 8 + 3

f( -4) = - 5

For x = 5, the value of function will be:

f( 5) = 2 (5) + 3

f( 5) = 10 + 3

f( 5) = 13

So, the range will become:

( -5, 13)

The graph of the function with points:

x        y

1        5

2       7

3       9

Therefore, we get that, the range of the function f(x) = 2 x + 3 will be ( -5, 13).

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What is the name used to describe a graph where for some value of , there exists two or more different values of y?

Function or Relation?

Answers

Answer:

Relation

Step-by-step explanation:

This is what I think


Given P||Q and T is a transversal, which of the
following justifies <1 = 25?
A Corresponding Angles Postulate
B. Alternate Interior Angles Theorem
c. Consecutive Interior Angles Theorem
D. Alternate Exterior Angles Theorem

Answers

If P||Q and T is a transversal, then ∠1=∠5 can be justified through Corresponding angle postulate. Thus, correct option is option A.

The Corresponding angle postulate states that if two lines are drawn on plane which are parallel to each other and dissected by a line passing through them at any angle then the corresponding angle of both the parallel lines will be equal to each other and hence would be congruent.

Here, P||Q and P and Q are dissected by the line T at some angle therefore to prove that ∠1=∠5 we go by the following steps:

∠4=∠5 as they are alternate interior angles.

and ∠1=∠4 as they are vertically opposite angles.

Thus, ∠1=∠5 and they are corresponding angles.

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Answer:A is the answer

Step-by-step explanation: I took the test and got it right!

three times the number which is two less than x is nine

Answers

The expression of the mathematical statement is  3y - 2 + x = 9

How to determine the expression?

The mathematical statement is given as

Three times the number which is two less than x is nine

Let the number be y

So, we have

Three times y which is two less than x is nine

Express as an equation

Three times y which is two less than x = 9

Represent the statements as an expression

So, we have

3y - 2 + x = 9

Hence, the expression of the mathematical statement is  3y - 2 + x = 9

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If f(x) = 4x - 3 and g(x) = x + 4, find (f- g)(x).

Answers

Answer:

(f-g)=3x-7

Step-by-step explanation:

First find f-g

4x-3 - x+4

This becomes 3x-7

Maria claims that any fraction located between 1/4 and 1/8 on a number line must have a denominator of 12. Enter a fraction that shows Maria's claim is incorrect.

Answers

Answer:

LCM is 16

Step-by-step explanation:

2/3 - 1/2

There's something called whole fraction whereby the fractions should be multiplied to get the LCM 6

Here We Go!

2/2*2/3 - 3/3*1/2

The denominators are 2 and 3 and when multiplied. The above fraction will still give you the LCM to be 6

You are trying to define your target market for a travel agency service. Identify the correct order of the market targeting steps: Select one: a. identify business needs, segment total market, profile target customer segment, research and validate marketing opportunity b. research and validate marketing opportunity, identify business needs, segment total market, profile target customer segment, research and validate marketing opportunity c. profile target customer segment, identify business needs, segment total market, research and validate marketing opportunity

Answers

Option c: The following should be followed to the target market for a travel agency service

profile target customer segment, identify business needs, total segment market, research and validate marketing opportunity.

What is Target marketing?

A target market is a group of people identified as the most likely potential customers for a product because of their shared characteristics such as age, income, and lifestyle. Identifying the target market is a vital part of the decision-making process when a company designs, packages, and advertises its product.

What Are the 4 Target Markets?

Marketing professionals divide consumers into four major segments:

Demographic: These are the main characteristics that define your target market. Everyone can be identified as belonging to a specific age group, income level, gender, occupation, and education level.

Geographic: This segment is increasingly relevant in the era of globalization. Regional preferences need to be taken into account.

Psychographic: This segment goes beyond the basics of demographics to consider lifestyle, attitudes, interests, and values.

Behavioral: This is the one segment that relies on research into the decisions of a company's current customers. New products may be introduced based on research into the proven appeal of past products.

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help please the question is in the picture need done ASAP will give brainilist

Answers

For the given system of inequalities,  x represents the number of brownies and y the number of cookies.

And the graph can be seen in the image below.

What each variable represents?

Here we have the system of inequalities:

4x + 6y ≥ 200

x + y < 75.

We know that they want to make less than 75 items, that is what the second inequality:

x + y < 75.

Represents.

We also know that each brownie  costs $4, and each cookie costs $6, then the expression:

x*4 + y*6

Represents the revenue for selling x brownies and y cookies, and because they want to earn at least $200, the inequality becomes:

x*4 + y*6 ≥ 200

So we conclude that x represents the number of brownies and y the number of cookies.

Now the system is:

4x + 6y ≥ 200

x + y < 75.

To graph it, you just need to graph both the lines and shade the indicated region, we can write the inequalities sa:

y ≥ (200 - 4x)/6

y < 75 + x

Just graph these two lines, for the first one you need to use a solid line and shade the region above the line, for the second, a dashed line and you need to shade the region below the line. The graph can be seen below.

The solutions to the systems are in the region where both shaded parts intersect.

There we can see that the point x = 20 and y = 20 (among a lot of other ones) is a solution to the system.

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Almost a billion people on the planet don’t have access to clean drinking water.” If there are 6.9 x 109 people in the world, then approximately what percent of them live without clean drinking water? Round to the nearest tenth of a percent.

Answers

The percent of them that live without clean drinking water is; 14.5%

How to find the percentage?

We know from scientific notation that;

1 billion = 1 * 10⁹

Now, we are told that there are 6.9 * 10⁹ people in the world. Thus, if almost a billion people on the planet don't have access to clean drinking water, then the percent of them that live without clean drinking water is;

(1 * 10⁹)/(6.9 * 10⁹) * 100%

= 14.5%

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Find the number that makes the ratio equivalent to 4:1
8:

Answers

8:2

- - - - - - - - - - - - - - - - - - - - - - - -

Work below!

- - - - - - - - - - - - - - - - - - - - - - - -

This ratio is simply doubled. Here's how I did it:

8 / 4 = 2, so it's multiplied by 2.

1 x 2 = 2, therefore the answer is 8:2!

- - - - - - - - - - - - - - - - - - - - - - - -

Hope this helped! :)

(Please consider leaving a Brainliest!)

~pinetreee

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