2. The angle of elevation of the top of a vertical
cliff, as seen from a boat 120 m away, is 32°.
The angle of elevation of the top of a flagpole
at the edge of the cliff, as seen from the boat,
is 37º. Find the height of the flagpole.

Answers

Answer 1

Answer: 15.44 m

Step-by-step explanation:

We can think this as two triangle rectangles.

In both cases, the adjacent cathetus is 120m.

When the angle is 32°, the opposite cathetus will be the height of the cliff.

When the angle is 37°, the opposite cathetus will be the heigth of the cliff plus the height of the flagpole.

Then we need to compute both of them and calculate the difference.

We can use the trigonometric relation:

Tan(θ) = (opposite cathetus)/(adjacent cathetus)

in this case we have:

Tan(32°) = (height of the cliff)/(120m)

Tan(32°)*120m = height of the cliff = 74.98m

Now we can use the other angle to compute:

Tan(37°) = (heigth of the cliff + heigth of the flagpole)/120m

Tan(37°)*120m = heigth of the cliff + heigth of the flagpole = 90.42m

Then the height of the flagpole will be:

H = 90.42m - 74.98m = 15.44 m


Related Questions

Egghead Egghead Egghead

Answers

Answer:

the first one is an egghead, gordon ramsey is not an egg

Step-by-step explanation:

Aaliyah learned to play a total of 16 pieces over the course of 8 weeks of piano lessons. After 10 weeks of piano lessons, how many total pieces will Aaliyah be able to play? Solve using unit rates.

Answers

Answer:

20

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

:P

Which of the scatterplots have no correlation? Check all that apply.

On a graph, points curve up and down.
On a graph, points are grouped together to form a horizontal cluster.
On a graph, points are grouped together to form a vertical cluster.
On a graph, points are grouped together and decrease.
On a graph, points are scattered over the graph.

Answers

Answer:

2, 3, and 5

Step-by-step explanation:

got it right on test.

The scatterplots (B), (C), and (E) have no correlation. which is the correct answer would be options (B), (C), and (E)

What is the Scatter plot?

The variables in the scatter plot made from the data are described by the independent variable, time, which is graphed along the horizontal axis.

When analyzing data with more than two variables, a scatter plot is used, which has a separate vertical axis for each variable.

According to the given option,

The second has no slope, therefore there is no correlation.

The third has a zero average slope with no upward or descending trend; no correlation.

The fifth has a general increasing tendency and will have a non-zero correlation.

Thus, the scatterplots (B), (C), and (E) have no correlation.

Hence, the correct answer would be options (B), (C), and (E),

Learn more about the Scatter plot here:

brainly.com/question/1386565

#SPJ6

Use the number line to find
0+(
8
19
14
0
19
8
OI-2
21
8

Answers

Answer:

put it right in between the 0 and 0.5

Step-by-step explanation:

Answer:

- 19/8 hope you got it right

Explain when it is appropriate to use a benchmark percent in solving a problem.

Answers

Answer:

The most common benchmark percents are 0%, 10%, 25%, 50%, 75% and 100%.

These benchmark values are sometimes used when estimating a solution involving percentages.

Real-World Example

If an item costs $36.00 and there is a 7% sales tax, the benchmark of 10% can be used to mentally estimate the sales tax of the item.

10% of 36, done mentally, is 3.6.

Since 7% is a bit less than 10%, the sales tax will be a bit less than $3.60.Step-by-step explanation:

Please help I'll give you brainliest and a lot of points

Answers

Answer:

about 50

Step-by-step explanation:

they a move up 5 minutes eace half mile

dont come at me if it is wrong :)

In the system of equations, b is a constant. If the system has infinitely many solutions, what is the value of b?

Answers

Answer:

The value of b is 9.5

Step-by-step explanation:

If a system of equations has infinitely  many solutions, that means the two equations are equal

If the system of equations ax + by = c, dx + ey = f, then

a = d ⇒ coefficients of xb = e ⇒ coefficients of yc = f ⇒ numerical terms

Let us use this fact to solve the question

3x - y = 19 ⇒ (1)

1.5x - 0.5 y = b ⇒ (2)

∵ This system of equations has infinitely many solutions

∴ The coefficients of x must be equal

∴ The coefficients of y must be equal

∴ The numerical terms must be equal

→ Multiply equation (2) by 2 to make the coefficients of x and y on it

  equal the coefficients of x and y in equation (1)

∵ 2(1.5x) - 2(0.5y) = 2(b)

3x - y = 2b ⇒ (3)

→ By comparing equations (1) and (3), 19 must equal 2b

∵ 2b = 19

→ Divide both sides by 2

b = 9.5

The value of b is 9.5

x2 - 2xy + y2 when x = 3 and y = 2​

Answers

Answer:

1

Step-by-step explanation:

Substitute 3 for x and 2 for y:

3^2 - 2(3)(2) + 2^2

= 9 - 12 + 4

= 1

3^2−(2)(3)(2)+2^2

3^2−(2)(3)(2)+2^2

= 1

there are between 25 and 43 students in a class
the ratio of boys to girls is 5 : 7
how many students are in the class?

Answers

Answer:

36

Step-by-step explanation:

Since the sum of the ratios is 5+7=12 the total number of students must be divisible by 12

The only number within the given range is 36

The number of students should be in the class should be considered as the 36.

Calculation of the number of students:

Since

there are between 25 and 43 students in a class

the ratio of boys to girls is 5 : 7

So here the total ratio should be like

= 5 + 7

= 12

So here the number of students should be divisible by 12

So, it should be 36

Learn more about ratio here: https://brainly.com/question/13111469

Please help i dont get this!

Answers

Answer:

The other one is -8 this is because the point on the graph is multiplied by 2

Step-by-step explanation:

can someone solve -15 = - 7a - 4 - 4a

and m - 4m = -6

and 8v - 3 + 3v = 8

STEP BY STEP PLEASE.

Answers

Answer:

A=1, m=2, v=1

Step-by-step explanation:

A.

[tex]-15=-7a-4-4a\\\\-15+4=-11a-4+4\\\\-11=-11a\\\\a=1[/tex]

B.

[tex]m-4m=-6\\\\\\-3m=-6\\\\\\3m=6\\\\m=2[/tex]

C.

[tex]8v-3+3v=8\\\\11v-3=8\\\\11v-3+3=8+3\\\\11v=11\\\\v=1[/tex]

For A, I first subtracted -4 from -7 as their variables are the same. I cannot subtract integers from variables. Then, I added 4 on both sides to move the integer on the left side. (This would also remove the -4 on the right side because -4+4=0) Then I divided -11 by both sides to get 1a or a.

For B, I  subtracted -4 from 1 as their variables are the same. This time, since they are both negative numbers, I can make them both positive. So, just divide 3 by both sides as we want to get 1m.

For C, Add 3 to 8 as v is their variable. Then, I added 3 to both sides because we want to get the variable on one side. Divide by 11 and you will get v=1.

Ellen needs to make b batches of blueberry scones this weekend for her family's brunch party. She needs 2 cartons of blueberries for each batch, and each carton costs $4. Pick all the expressions that represent how much Ellen will spend on blueberries.

Answers

Answer:

Ellen will spend

$4(2b) on blueberries

Where b = number of batches of Blueberry scones she wants to make

Step-by-step explanation:

From the above question:.

Ellen needs to make b batches of blueberry scones this weekend for her family's brunch party.

Since she needs 2 cartons of blueberries for each batch, and each carton costs $4

1 batch = 2 cartons of blueberries

b batches =

Cross Multiply

b × 2 cartons

= 2b cartons of blueberries.

We also know that:

1 carton blueberries = $4

2b cartons of blueberries = x

Cross Multiply

x = 2b × $4

Therefore, Ellen will spend :

$4(2b) on blueberries

could u plz answer this
2x-7=13
3x+4=25​

Answers

Answer:

x=10

Step-by-step explanation:

I NEED HELP! what shape is symmetry ?

Answers

Answer:

E, the heart

Step-by-step explanation:

Answer:

The heart

Step-by-step explanation:

It is able to flip and still look the same

Help me pleaseee on this plss

Answers

Answer:

a(n)= -4n-6

Step-by-step explanation:

If you plug the number of the sequence in as n in the equation (1=-10, 2=-14, etc.) and then plug the actual number (-10, -14, etc.) in as the a(n), for each of the equations, the only one that works with all four is the first one.

Which number line shows the points −125 and –2.8?

Answers

You didn’t send a picture so we can’t tell

A field is in the shape of a Rectangle. The width
of the rectangle is x yards. The length of the
rectangle is 3 more than the width. Write an
expression for the perimeter of the field.

Answers

Answer:

4x+6

Step-by-step explanation:

The perimeter of the field can be obtained by calculating the distance around the field.

in this case, we know that the shape of the field is a rectangle.

The perimeter of a rectangle can be obtained by using the formula

[tex]2(l+b)[/tex]

The width of the rectangle is given as x yards

The length of the rectangle is given as x +3 yards

Therefore, an expression to determine the perimeter of the rectangle can be given as

[tex]2(x+3+x)\\=2(2x+3)\\=4x+6[/tex]

Help on this please

Answers

Answer:

I got 25

I really hope that helps

Answer:

I got B. 25

Step-by-step explanation:

B is your answer

Does anyone know the answer to this problem?

Answers

Answer:

15

Step-by-step explanation:

3^2 + sqrt4 + 4

3^2 = 9

sqrt4 = 2

(9)+(2)+(4)=15

therefore, the answer is 15

NEED HELP ASAP!!!!!!!

Answers

x=45

Why?

Becuz this triangle relies on 180 degrees. So 180-170= 10
10+125=135
180-135=45

transversals angles​

Answers

3 or in this case the answer is C

the answer of your question is angle 3


What is the slope of the line that passes through the points (-2,3) and (-14, -5)?
Write your answer in simplest form

Answers

Slope = 2/3 (positive 2/3)
You use the formula Y2-Y1/X2-X1 in order to get the slope

What is 11% of 600?

80
45
60
66

Answers

Answer:

66 is the answer to your question

Answer:

66

Step-by-step explanation:

11 % = 0.11

600 × 0.11 = 66

Identify an equation in point-slope form for the line parallel to y+-2/3x+8 that passes through (4, -5).

Answers

Step-by-step explanation:

Line parallel to the line y = -2/3 x + 8 also has the slope -2/3.

Since the line passes through (4, -5), we have (x - 4) written on the right side and (y + 5) on the left side.

Hence the equation is y + 5 = -2/3 * (x - 4). (B)

Solve the following inequality:
55 – 5q > 4(7–9).

Answers

Step-by-step explanation:

55 – 5q > 4(7–9)

4(-2)

55- 5q > -8

-5q > -63

q=12.6

WHICH OF THE FOLLOWING IS TRUE FOR THIS SITUATION?

Answers

B (sorry if wrong) hope this helps
It’s D

Check the graph, they both are at 4 inches by 6 weeks so that’s the right answer

Have you ever wondered why runners start at different spots on a track instead of lining up together? This is called a staggered start. Since tracks have semicircles (or half circles) on the ends, if all the runners lined up together, runners in outer lanes would need to run farther than runners in inner lanes. Why? Because the circumference of the outer lane is greater than the circumference of the inner lane. Staggering starting positions ensures that all runners run the same distance! Where do you see circles and semicircles in the world around you? Why could finding the area or circumference be helpful?

Answers

Step-by-step explanation:

A. Where do you see circles and semicircles in the world around you?

1. Ring.

2. Earing

3. Coin

4. Hockey puck

5. Car tyre

6. Dartboard

7. Wreath

8. Plate

9. Hula hoop

10. Mercedes logo

11. Bass drum

12. Drain

B. Why could finding the area or circumference be helpful?

Finding the area or circumference can help us estimate the size of these circular shape/figures, it can tell us the amount of space they can occupy or the amount of materials needed to produce them

Does this table represent a function? Why or why not?
Hours of
Training
10
20
30
40
Monthly
Pay
1220
1420
1620
1820
2020
2220
2420
50
60
70

Answers

yes, the answer is D
Ur answer would be D

A container has 12 1/2 cups of pancake mix. A serving uses exactly 1 1/2
cups
• How many full servings are in the container?
• How many cups of pancake mix are left over?
Enter each answer on a separate line.

Answers

Answer:

8 full servings

Step-by-step explanation:

1/2 cup of mix left

I need the measure of angle 1

Answers

Answer:

Angle 1 is 69°

Step-by-step explanation:

9x + 66 = -9x + 156

9x + 9x = 156 - 66

18x = 90

18x/18 = 90/18

x = 5

-9x + 156

-9(5) + 156

-45 + 156

111

180 - 111 = 69.

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