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

Randy wants to attach a 23 foot string of lights to the top of the 13 foot mast of his sail boat. How far from the base of the mast should he attach the end of the light string?

Answers

Answer:

distance from the base where string is attached = 18.97 feet

Step-by-step explanation:

The diagram attached to this solution gives a right-angled triangle formed by attaching the string to the top of the mast. the distance from the base is calculated as follows:

(hypotenuse)² = (opposite)² + (adjacent)²

23² = 13² + d²

529 = 169 + d²

d² = 529 - 169

d² = 360

d = √(360)

d = 18.97 feet

what is the anwser to 20<2m-16

Answers

Answer:

the answer is m>18 hope this helps

8 t-shirts and a hat costs £42.00
3 t-shirts and a hat costs £17.00.
How much does a t-shirt cost?
How much does a hat cost

Answers

Answer:

a T-shirt costs £5

a hat costs £2

Step-by-step explanation:

Suppose

A T-shirt=x

A Hat=y

So the equation is

8x+y=42

3x+y=17

So

8x+y=42

3x+y=17

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

5x=25

x=5

So a T-shirt costs £5

3.5+y=17

15+y=17

y=2

So a hat costs £2

Answer:

t-shirt: £5

hat: £2

Step-by-step explanation:

Please see the attached picture for the full solution.

The library is to be given 5 books as a gift. The books will be selected from a list of 23 titles. If each book selected must have a different​ title, how many possible selections are​ there?

Answers

Answer:

Concept: Statistics

They will receive 5 booksThere are 23 titles There must be a different title each time.Hence there are 23 total selections

Answer:

u will try urself ......okay ...

...

There are 20 blue marbles and 10 red marbles in a bag .if a marble is drawn at random once ,what is the probability that it will be blue

Answers

Answer:

2/3

Step-by-step explanation:

First, you figure out how many marbles are in total, which is the denominator. The total number of marbles is 30.

Then, you figure out how many marbles are blue, which is the numerator. There are 20 blue marbles.

Finally, you simplify the fraction. 20/30=2/3.

Answer:

75% i think

Step-by-step explanation:

How many components is this?

CH11H2O

Answers

Answer:

15 components.

Step-by-step explanation:

There is one Carbon, 11 hydrogen, 2 hydrogen, and one oxygen... Add it all tg and thats what you get... Hope this helped you!! Give brainliest..

Pls help me and I’ll give brainliest

Answers

Answer:

-2

Step-by-step explanation:

do you need an walk through?

11. Solve the problem.
Al earns $8.75 per hour and wants to buy a Kindle for $149. About how many hours must he work?
about 10 hours

Answers

Answer:

18

Step-by-step explanation:

149/8.75 = 17.02

If he gets paid by the hour, it has to be rounded upwards.

Select the correct answer from each drop-down menu.
Consider functions hand k.

For x > 0, the value of k(h(x)) is
For x > 0 functions h and k
the inverse

Answers

Answer:

not equal to

are not

Step-by-step explanation:

guessed on plato and got it right. Thank You!!!!

Answer:

The correct answers are:

Not equal to

Are not

Step-by-step explanation:

I got it right on the Edmentum test.

please help i dont know how to do this

Answers

Answer:

B.

Step-by-step explanation:

jason is filling up a 3/4 gallon pitcher. the one he has to fill it up with is 1/3 of a gallon.

1/3 * x = 3/4

x/3 = 3/4

3 (x/3) = 3 (3/4)

3x/3 = 9/4

x = 9/4

9/4 is 2.25 so the answer is B

What is the stored energy of an object called?

Kinetic energy
Mechanical energy
Potential energy
Translational energy

Answers

Answer:

potential energy

Step-by-step explanation:

because when an object has stored energy its call potential but if it was kenetic energy the energy would have to move

Answer:

C

Step-by-step explanation:

I need to know where to place the dot​

Answers

Answer:

in your but

Step-by-step explanation:

nah jk its 3,-3

the perimeter of a rectangle is 8x+10.if the length is 2x+8 what is the width?

Answers

Answer:

6x+2

Step-by-step explanation:

Answer:combine your like terms and solve to get the width .

Step-by-step explanation:

f(x)=4x+4;{-2,-1,0,1,2}

Answers

Answer:

i need more info

Step-by-step explanation:

please comment on this to tell me all of said details

Answer:

55 and the gravitational of a new one

Step-by-step explanation:

7th grade and the gravitational of a

Sam is flying a kite. The length of the kite string is 80 meters, and it makes an angle of 75° with the ground

Answers

what does the question ask?

Answer: 77.27

Step-by-step explanation: I did the test and I got it right.

In 2010, Isaiah paid $6,910 in federal income tax. In 2011, he paid $8,292. What is the percent of increase in the amount paid?

Answers

I need help on this same one lol

If 9y - 5 = 22, find the value of 2y.

Answers

Answer:

3=y

Step-by-step explanation:

9 × 3 = 27 27 - 5 = 22 2y = 5

What is the product??????

Answers

Answer:

but the answer is 0

Step-by-step explanation: i don't know the step by step thing ok

Over 3 days Molly earns $2,568 for a local charity.She earns twice as much money on the first day then the second day. She earns 3 times as much money than the second day on the 3rd day.How much money did Molly earn on the first day?

Answers

Answer:

Molly earned $856 on the first day.

Step-by-step explanation:

From the information given, you know that over 3 days Molly earned $2,568 which is:

x+y+z=2568, where:

x is the amount earned on the first day

y is the amount earned on the second day

z is the amount earned on the third day

Also, you know that she earns twice as much money on the first day then the second day, which is: x=2y and that she earns 3 times as much money than the second day on the 3rd day, which is: z=3y.

Now you can replace x and y in the first equation and solve for y:

2y+y+3y=2568

6y=2568

y=2568/6

y=428

No, you can replace the value of y to find x and z:

x=2(428)

x=856

z=3(428)

z=1284

According to this, the answer is that Molly earned $856 on the first day.

2.Write 784,229 in expanded form

Answers

Answer:700,000+80,000+4,000+200+20+9

Step-by-step explanation:

That should be the answer.

please help and answer this question

Answers

Answer:

-2x+9

This is the answer you are looking for

YOUR WELCOME! :D

What quadrilateral has one pair of opposite angles are congruent.

Answers

Kite........................

A kite can be the Quadrilateral

what is the horizontal asymptote for this graph

Answers

Answer:

Y=0

Step-by-step explanation:

Joy invests $13,000 into an account at an annual rate of 0.6% simple interest for 24 months. what is the principal?

Answers

Answer:

I would think the principal is $13,000

Step-by-step explanation:

Answer:

Principle =$13000

Step-by-step explanation:

PLEASE ANSWER ASAP THANKSSS :)


Sal wants to know if he has enough money to buy 4 gallons of gas. If he has $15, and each gallon of gas costs $3.29, which is a good estimate for whether Sal will be able to afford 4 gallons of gas?

$3 + $3 + $3 + $3 = 12, so Sal can afford the gas.
$4 + $4 + $4 + $4 = 16, so Sal can afford the gas.
$3 + $3 + $3 + $3 = 12, so Sal cannot afford the gas.
$4 + $4 + $4 + $4 = 16, so Sal cannot afford the gas.

Answers

Answer:

The first one ( $3 + 3 + 3 + 3 = 12, so Sal can afford the gas. )

Step-by-step explanation:

-2g – 2m + 5, when g=-3 and m= 10

Answers

Answer:

9

Step-by-step explanation:

-2g- 2m+ 5

-2(-3) - 2(10) +5

6- 20+ 5

9

There were 5 girls in Ms. Smith’s 6th period class. If 45% of students are girls, about how many boys are in her class?​

Answers

Answer:

5 is 45% of 11.11

Step-by-step explanation:


There were 24 boys and 20 girls in a chess club last year. This year
the number of boys increased by 25% but the number of girls
decreased by 10%.
Find the overall percent change in membership of the club.
10

Answers

Answer:

35%

Step-by-step explanation:

If you take the amount of percent the girls decreased, and the amount the boys increased in percentages, you will have your answer when just adding them together. So the answer is 35% or as in 6 boys joined and 2 girls left. So that gives you a total of 8 joining or leaving the chess club or 35% difference.

Write the power set of the set A={a,b,c}​

Answers

Answer:

P(A) = {{a},{b},{c},{a,b},{a,c},{b,c},{a,b,c},∅}

Step-by-step explanation:

➨ Power Set is the set of all subsets.

First, find the subset of A.

{a},{b},{c},{a,b},{a,c},{b,c},{a,b,c},∅

If you aren't sure that you already have written all subsets or not, use the following formula.

[tex]2^n[/tex] ➩ where n is the number of element/members.

Our number of members are 3, use the following formula.

[tex]2^3=8[/tex]

Thus, our subsets should be 8.

As we've already gathered all subsets, write the braces all whole subsets.

P(A) = {{a},{b},{c},{a,b},{a,c},{b,c},{a,b,c},∅}

100 points!!
Nicole has 425 candy bars to sell for a fundraiser. Let C be the number of candy bars. Let P be the amount made from selling the candy bars. Suppose that P = 2C - 300 gives P as a function of C.

Identify the correct description and appropriate set of values for the domain of the function.

Group of answer choices

the number of candy bars; open curly brackets 0 comma 1 comma 2 comma 3 comma horizontal ellipsis comma 425 close curly brackets

the number of candy bars; the set of all real numbers from 0 to 300

the amount made from selling the candy bars; the set of all real numbers from 0 to 300

the amount made from selling the candy bars; open curly brackets 0 comma 1 comma 2 comma 3 comma horizontal ellipsis comma 425 close curly brackets

Answers

Answer:

its c

Step-by-step explanation:

i just too quiz and it siad this

Answer:

c

Step-by-step explanation:

took the quiz and got 100% on it

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