A pole tilts at an angle of 9 degrees from vertical, away from the sun. The pole casts a shadow that is 24 feet long. The angle of elevation from the end of the pole’s shadow to the top of the pole is 53 degrees. How long is the pole?

Answers

Answer 1

Answer:

Step-by-step explanation:

180-53-(90-9)=46

sin53/p=sin46/24

p=24sin53/sin46

p=26.65ft

Answer 2

The length of the pole with the given shadown is 26.6 feet long.

Length of the pole

The height of the pole is determined from trignometry property of right triangle.

The shadow of the pole, vertical height formed by the pole and the length of the pole, will form a right triangle.

Let the base of the right triangle = 24 ftLet the base angle = 53⁰base angle of similar triangle = (90 - 53) + 9 = 46⁰

The length of the pole is calculated as follows;

L/sin53 = 24/sin46

L = (24 x sin53) / (sin 46)

L = 26.6 ft

Thus, the length of the pole with the given shadown is 26.6 feet long.

Learn more about angle of elevation here: https://brainly.com/question/25748640


Related Questions

BRAINLIEST WILL GIVE

Answers

14
bc 4^2 is 16. 16-2=14

Which graph represents the function?

f(x)=x+2‾‾‾‾‾√3

Answers

Answer:

the correct answer is the last one to the right side

Answer:

Equation :

f(x) = ³√x+2

The fourth option.

See image.

I hope the image helps.

PLEASE HELP I NEED A GOOD MATH GRADE

Answers

Answer:

1.2 to 10 o->

2.8 to -10 <- with fully bubbled o

evaluate (4x-5)² pls send answers ​

Answers

Answer =

= (4x - 5)²

= 16x² - 40x + 25

On a random Friday in the fall, 95% of students were present at school. If there are a total of 420 students enrolled, then how many students were present that day​

Answers

[tex] \frac{95}{100} \times 420 = 399[/tex]

Question 11
Rhonda deposits $5,600 in a savings account that pays 1.36% Interest, compounded semiannually. What is the balance after the first 9 months?

Answers

Answer:

follow me please and give thanks

HELPPPPP ME PLEASEEEE

Answers

Answer:

4x-8 = 4x+12

Step-by-step explanation:

you multiply everything in the parentheses by what is outside of it

4(x-2)                     = 2(2x+6)

4(x)=4x & 4(-2)=-8    2(2x)=4x & 2(6)=12 then write the numbers as an equation:

4x-8 = 4x+12

Name 6 elements of PQR.

Answers

Answer:

josh

rabeesh

ronger

roger

roge

robert

Step-by-step explanation:

Five less than 3 times a number b is greater than the opposite of 8.

Answers

Answer:

6 9 4 .....digsigsigishs

Answer: 5-3xb > -8




Explanation:

A toy train has 8 compartments and an engine that is 8 inches long. Each compartment is 4 inches long. Each compartment is joined by links that are 3 inches long. How long is that train.

Answers

Answer:

64in

Step-by-step explanation:

links=8*3=24

compartments + engine=4*8+8=40

40+24=64

does anyone know how to do this?

Answers

Answer:

90

Step-by-step explanation:

77degrees is one half of the side if see the line is exactly straight aplogies if i'm wrong

please help me with this question

Answers

Answer:

18

Step-by-step explanation:

In the image shown line n is a transversal cutting parallel lines l and m
A- 79
B- 81
C- 83
D- 86

Answers

the answer to your question is C

I’m taking test rn lol

Answers

ITS C INDEED M8 is a good

Answer:

A. 2

Step-by-step explanation:

∛8 = 2

There is only one correct value to it so it can't be negative and positive 2, the answer is positive 2 so,

= 2

A rental car company charges $36.41 per day to rent a car and $0.11 for every mile
driven. Kaylee wants to rent a car, knowing that:
• She plans to drive 50 miles.
• She has at most $360 to spend,
Which inequality can be used to determine d, the maximum number of days Kaylee
can afford to rent for while staying within her budget?
360 > 5.5 + 36.41d
360 > 5.50 + 36.41
Submit Answer
360 < 5.5 + 36.41d
360 < 5.5d + 36.41

Answers

Answer: 360>5.5+36.41d

Step-by-step explanation:

The history of 100 workers who lost their employment due to technological advances is reviewed. Each worker was given an alternative job in the same​ company, found a job with another company in the same​ field, found a job in a new​ field, or has been unemployed for 1 year. In addition the union status of each worker is recorded. Complete​ (a) and​ (b).

Union Non-Union
Same Company 39 13
New Company 14 10
New Field 6 11
Unemployed 2 5

Required:
a. If the selected worker found a job with a new company in the same field, what is the probability that the worker is a union member?
b. If the worker is a union member, what is the probability that the worker has been unemployed for a year?

Answers

Based on the circumstances of the 100 workers and their union membership, the probabilities are:

Probability of worker finding new job in same field and is in union = 0.583.Probability that union worker has not been employed for a year = 0.033.

What is the probability of the a new job with a union member?

Number of people with jobs in new companies:

= 14 + 10

= 24

There are 24 people who have found a new job and out of them, 14 are in a union. The probability here is therefore:
= 14 / 24

= 0.583

What is the probability that a union worker has been unemployed?

The number of people in a Union is:
= 39 + 14 + 6 + 2

= 61 people

Number of union people that have been unemployed is 2.

The probability here is therefore:

= 2 / 61

= 0.033.

Find out more on probabilities at https://brainly.com/question/25870256.

Suppose P(t)represents the population of a certain mosquito colony, where. t is measured in days. The current population of the colony is known to be 574 mosquitos; that is, P(0)=574. If P'(0)=50 mosquitos per day, estimate the size of the population in 10 days.

Answers

Answer:

The estimated size of the population in 10 days is of 1372 mosquitos.

Step-by-step explanation:

Population after t days:

The population after t days is given by:

[tex]P(t) = P(0)e^{rt}[/tex]

In which P(0) is the initial population and r is the growth rate, as a decimal.

P(0)=574.

So

[tex]P(t) = 574e^{rt}[/tex]

P'(0)=50

[tex]P^{\prime}(t) = 574re^{rt}[/tex]

Since P'(0)=50

[tex]574r = 50[/tex]

[tex]r = \frac{50}{574}[/tex]

[tex]r = 0.0871[/tex]

So

[tex]P(t) = 574e^{0.0871t}[/tex]

Estimate the size of the population in 10 days

This is P(10).

[tex]P(10) = 574e^{0.0871*10} = 1372[/tex]

The estimated size of the population in 10 days is of 1372 mosquitos.

The size of the population of mosquito follows an exponential model.

The size of the population in 10 days is 1370

The given parameters are:

[tex]\mathbf{P(0) = 574}[/tex]

[tex]\mathbf{P'(0) = 50}[/tex]

An exponential function is represented as:

[tex]\mathbf{P(t) = P(0) \times e^r^t}[/tex]

So, we have:

[tex]\mathbf{P(t) = 574 \times e^r^t}[/tex]

Differentiate

[tex]\mathbf{P'(t) = 574r}[/tex]

Substitute 0 for t

[tex]\mathbf{P'(0) = 574r}[/tex]

Substitute [tex]\mathbf{P'(0) = 50}[/tex]

[tex]\mathbf{50 = 574r}[/tex]

Divide both sides by 574

[tex]\mathbf{0.087 = r}[/tex]

So, we have:

[tex]\mathbf{r = 0.087 }[/tex]

The function becomes

[tex]\mathbf{P(t) = 574 \times e^r^t}[/tex]

[tex]\mathbf{P(t) = 574 \times e^{0.087t}}[/tex]

In 10 days, t = 10.

So, we have:

[tex]\mathbf{P(10) = 574 \times e^{0.087 \times 10}}[/tex]

[tex]\mathbf{P(10) = 574 \times e^{0.87}}[/tex]

Solve

[tex]\mathbf{P(10) = 1370}[/tex]

Hence, the size of the population in 10 days is 1370

Read more about exponential functions at:

https://brainly.com/question/11487261

97 inches = how many yards?

Answers

Answer:

8 yards

Step-by-step explanation:

97 divided by 12

GIVING BRAINLIEST AND EXTRA POINTS TO BEST EXPLAINED ANSWER EVER!

Answers

Answer:

3/16 of her garden are red roses

she was not correct, 2/4 is not equal to 3/16

Step-by-step explanation:

3/4 garden are roses

1/4 of those are red  (1/4 of 3/4)

3/4 (1/4) = 3/16 of her garden are red roses

Answer:

Yes she is correct because if you have the 3/4 u still have 1/4 un planted an then she adds the 1/4 an that would make it 2/4.

Step-by-step explanation:

hope this helps

if the cube was Rolled 78 x and the nine appears 26 times what was the experimental probability of rolling a 9​

Answers

Answer:

1/3 = 0.3333 = 33.33% experimental probability of rolling a 9​.

Step-by-step explanation:

The experimental probability is given by the number of desired outcomes divided by the number of total outcomes, after a number of experiments is made.

In this question:

Cube rolled 78 times.

9 appeared 26 times

26/78 = 1/3 = 0.3333 = 33.33% experimental probability of rolling a 9​.

2. You have a bag containing 5 red markers, 6 green markers, and 4 blue markers. You reach Into the bag, select 1 marker, replace it, and then select another marker. What is the probability
that you selected a blue marker and then a green marker?
14.3%
10.7%
73.3%
83.3%

Answers

Answer:

10.7%

Step-by-step explanation:

possibility to get a blue marker : 4/15

possibility to get a green marker: 6/15

possibility to get a blue then a green: 24/225

= 10.666666%

= 10.7%

3×/5 2×/3 + 1/5 = 0

Answers

Answer:

what is the question. the equation is invalid.

The recipe for Tommy’s famous chocolate chip cookies calls for ¾ cup of chocolate chips. Tommy wants to triple the recipe. How many cups of chocolate chips will he need?

Answers

Answer:

2 1/4 cups

Step-by-step explanation:

3(3/4) = 9/4 = 2 1/4 cups

what is the HCF of 15and25​

Answers

Answer:

5

Step-by-step explanation:

HOPE IT HELPS YOU .......

Holly shipped a 5-pound package for $4. She shipped a 3-pound package for $3.60 and a l-pound l package for $3.20. A 10-pound package cost $5 to ship. The cost follows a pattern based on the
weight. Which expression could be used
to find the shipping cost for a package
of p pounds?

Answers

Answer:

the answer would be A

Step-by-step explanation:

The cost seems to start at 3 and increase by each pound times .20 cents. Ex: 1 x .20 =.20 + 3 =3.20

8
BONUS QUESTION: A swimming pool is in the shape of a triangular prism. From the top down, the triangle's base has a length of 22 ft and a height of 11 ft.
The pool is 17.5 ft deep. If it takes 4.83 gallons of Jell-o to fill 2 cubic foot of space, how many gallons of Jell-o will it take to completely fill the pool? (Round the
gallons up).

Answers

I'm sorry I don't know

Answer:

Good luck Dude

Step-by-step explanation:

Find the solution to the system of equations.
You can use the interactive graph below to find the
solution.
–2x + 2y = -4
3x + 3y = -18

Answers

No solution it’s infinite

7.) Which of the following are some of the possible solutions for the inequality?
-9w <-54
A. 6, 7, 8, 9
B. 6,5, 4,3
C.-6, -5, -4,-3
D. -6, -7,-8,-9

Answers

Answer:

A

Step-by-step explanation:

We will solve this inequality by dividing both sides by -9.

Remember, whenever you multiply or divide both sides by a negative number, the sign must be switched.

So we get:

[tex]w>6[/tex]

The only answer that has possible solutions that are greater than 6 is A.

3/500% of a quantity is equal to what fraction of the​ quantity?


what is the answer??????

Answers

Answer:

3/5

Step-by-step explanation:

Given

[tex]\frac{3}{500} \%[/tex]

Required

Represent as fraction

To do this, we simply multiply 3/500 by 100

[tex]\frac{3}{500} \% = \frac{3}{500} * 100[/tex]

[tex]\frac{3}{500} \% = \frac{3}{5}[/tex]

So, the fraction is 3/5

Carpet is installed in the hallways of a building. The cost of carpet and installation is $32.50 per square yard. A total length of 432.0 feet of carpet 5.0 feet wide is required. What is the total cost of carpet and installation? (Number of square feet = length in feet × width in feet)

Answers

Answer:

[tex]Total = \$7800[/tex]

Step-by-step explanation:

Given

[tex]Cost = \$32.50[/tex] per square yard

[tex]Length = 432.0ft[/tex]

[tex]Width = 5.0ft[/tex]

Required

Determine the cost of carpet and installation

First, calculate the area of the carpet

[tex]Area = Length * Width[/tex]

[tex]Area = 432.0ft * 5.0ft[/tex]

[tex]Area = 2160ft^2[/tex]

Convert to square yard

[tex]Area = \frac{2160yd^2}{9}[/tex]

[tex]Area = 240yd^2[/tex]

The cost is then calculated as:

[tex]Total= Area * Unit\ Cost[/tex]

[tex]Total = 240 * \$32.50[/tex]

[tex]Total = \$7800[/tex]

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