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

What is the value of (-5)4?

Answers

Answer:

(-5)4=

-5+4=-1

take care of yourself

have a nice day

A camera has a listed price of $627.95 before tax. If the sales tax rate is 6.5%, find the total cost of the camera with sales tax included
Round your answer to the nearest cent, as necessary.

Pls hurry I’m in a math test

Answers

$627.95 × 6.5%

=$40.81675

then:

627.95 + 40.81675

=668.76675

=$668.77

Cherry Avenue Park is in the shape of a rectangle. What is the area, in square

miles, of Cherry Avenue Park?

Answers

Answer: a rectangles area is length x width. You need to find the numbers that represent the length and the width and multiply them

Step-by-step explanation:

If you flip a fair coin 6 times, what is the probability that you will get exactly 4 tails?

Answers

Answer:

So the number of outcomes with exactly 4 tails is 720/2/24 = 15. Finally we can now calculate the probability of getting exactly 4 tails in 6 coin tosses as 15/64 = 0.234 to 3 decimal places

Step-by-step explanation:

hope this helps :)

ILL GIVE BRAINLEST
The difference between 3 times a number x and 2 is 19. What is the value of x?

A. 7

B. 6

C. 5

D. 1

Answers

Answer:

A. 7

good luck, i hope this helps :)

A7 hope this helps it is easy math u just have to Figure out what two times something equals 19

HELP ME PLEASE I NEED TO KNOW HOW TO SEE WHICH GRAPH HAS A GREATER B VALUE!!! Can someone also please explain how I can tell which ones has a greater b value

Answers

Answer:

hi

Step-by-step explanation:

a has the greater value

Answer:

They have the same B value, B value is the Y-intercept, where the graph starts, both B-values are equal to 1. I'm pretty sure that's correct

What is the mode of the data set (30,28,30,45,40,37,35)? Level 1-2
28

30

45

37
help helpppp

Answers

The answer is 30
Hope this helps

x³-5x²+2x-10 devided by x²+2​

Answers

Answer:

     x-5

Step-by-step explanation:

a veriable is definded as

Answers

Answer:

Its Basically A Type of pattern In an Equation that you solve.

for example, X=Y. It's Configured as  a pattern.

Step-by-step explanation:

Answer:

A variable is a unknown number or a unknown value.

Commonly used variables are x and y.

Have a nice day!

Hope this helps!

a box contains 24 balls , some of which are red, some of which are green , and the rest are blue . the probabilities of drawing a red ball and a green ball at random from the box are 1\3 and 1\6 respectively . find the number of blue balls in the bag.​

Answers

Step-by-step explanation:

I think it's 15 but I'm not sure

Which of the following may have an outcome that is not a polynomial ? A. The addition of two polynomials B. The multiplication of two polynomials C. The subtraction of two polynomials D. The division of two polynomials

Answers

Answer:

Step-by-step explanation:

B

Common factors for 18 and 54 and 29 and 39 with a GCF for each pair I'll give brainlest​

Answers

Answer:

1

Step-by-step explanation:

Common factors of:

18: 1,2,3,6,9,18

54: 1,2,3,6,9,18,27,54

29: 1,29

39: 1,3,13,39

GCF is 1

Answer: See explanation

Step-by-step explanation:

A factor is one of two or more numbers that divides a given number without a remainder.

18: 1, 2, 3, 6, 9, 18

54: 1, 2, 3, 6, 9, 18, 27, 54

GCF of 18 & 54: 18

29: 1

39: 1, 3, 13, 39

GCF of 29 & 39: 1

If you're asking for the GCF of all these numbers, its 1

Write the statement as a rate. Lilly records 65 movies onto 5 DVDs. Choose the correct answer below. 65 movies О А. 1 DVD 5 movies о В. 5 DVDs 65 DVDs OC 5 movies 65 DVDs OD 1 movie​

Answers

b 5 dvds 65 dvds oc 5

What is the recursive formula for this sequence?

Answers

Answer:

B. a=10

an=an-1-4

this is the answer

In a group of 38 pupils, 13 play the flute only.
7 play the piano only.
5 play neither instrument.
How many pupils play both instruments?

Answers

13 pupils play both instruments I believe is the correct answer

PLZ HELP ASAP
What is the length of MN? Round your answer to the tenths.

Answers

Answer:

30.7

Step-by-step explanation:

Answer:

30.8 units

Step-by-step explanation:

Definition of tangent

tan = opposite / adjacent

Apply to the given triangle and solve for MN

MN/PN = tan ∠PMN / 10 = tan (72 deg)MN = 10 (3.077)MN = 30.8 (rounded)

Determine whether the given statement is true or false. 1 14 E {12, 14, 16, 18} ​

Answers

If your asking if it is a pattern then yes

In ΔOPQ, PQ = 17, QO = 9, and OP = 15. Which statement about the angles of ΔOPQ must be true?

Answers

Answer:

All angles are different.

Internal angles can be acute, obtuse, or right angle.

The smallest side is opposite to the smallest angle and the longer side is opposite to the larger angle.

Step-by-step explanation:

Given - In ΔOPQ, PQ = 17, QO = 9, and OP = 15.

To find - Which statement about the angles of ΔOPQ must be true?

Proof -

As given,

In ΔOPQ, PQ = 17, QO = 9, and OP = 15.

As all the sides of the given triangle is different, So the given triangle is a Scalene triangle.

Now,

We know that , In Scalene triangle -

All sides are different.

All angles are different.

Internal angles can be acute, obtuse, or right angle.

The smallest side is opposite to the smallest angle and the longer side is opposite to the larger angle.

Smallest angle: ∠P

Opposite shortest side.

Middle angle: ∠O

Opposite middle side.

Largest angle: ∠Q

Opposite longest side.

Therefore:

m∠P<m∠O<m∠Q

Less than symbol goes from smallest to largest

Here's a better Explanation!!!!!!

the sum of two numbers is 51 and the difference is 13. what are the numbers

Answers

Answer:

Step-by-step explanation:

19 and 32

Answer:

the two numbers are 19 and 32

Step-by-step explanation:

let's call the numbers x and y.

write out the equations

x + y = 51

x - y = 13

simplify the second equation

x = 13 + y

substitute into the first equation and simplify

(13 + y) + y = 51

13 + 2y = 51

2y = 51 - 13

2y = 38

y = 19

substitute y for 19 in the second equation

x = 13 + y

x = 13 + 19

x = 32

How to write and graph at least 10 on a number line as a inequality ​

Answers

Answer:

x≥10

draw a number line, plot 10, put a dot on top of 10 and draw an arrow from the dot all the way to right

Step-by-step explanation:

What is the constant in the following equation? 12 = 3k

Answers

Answer:

k = 4

Step-by-step explanation:

[tex]12=3k\\\frac{12}{3}=\frac{3k}{3} \\4=k[/tex]

241÷9 cevabı nedir ????​

Answers

Answer:

26.7777778 or 26.78 rounded

Step-by-step explanation:

Find the quotient of: (-20xyz) (5zy)​

Answers

Answer:

the answer would be -4x

Step-by-step explanation:

dividing (-20xyz) by (5zy) = 3

Which system of equations could be used to find the number of tickets sold before the tournament, x, and the number of tickets sold at the door, y? Remember, 743 tickets were sold, and 75 more tickets were purchased before the tournament than at the door.

Select the correct system based on the scenario.
y = x + 75
y = 75x + 743
y = x + 75
y = x + 743
x + y = 743
x – y = 75
x + y = 743
y – x = 75
Which system of equations could be used to find the number of tickets sold before the tournament, x, and the number of tickets sold at the door, y? Remember, 743 tickets were sold, and 75 more tickets were purchased before the tournament than at the door.

Select the correct system based on the scenario.
y = x + 75
y = 75x + 743
y = x + 75
y = x + 743
x + y = 743
x – y = 75
x + y = 743
y – x = 75

Answers

Answer:

C. x + y = 743        

    x – y = 75

Step-by-step explanation:

Got it right.

Answer:

C. x + y = 743        

     x – y = 75

Step-by-step explanation:

I did the test so trust me :)



What happens to the distance between each billiard ball during this rigid

transformation?

Answers

The question is incomplete. Here is the complete question.

To set up a game of billiards, the first player moves the balls contained within a triangular rack as shown. What happens to the distance between each billiard during this rigid transformation?

A. The distance remains constant throughout the transformation.

B. The distance decreases at the start and increases after all motion stops.

C. The distance stays the same at the start but decreasesexactly when motion ends.

D. The distance increases at the start and then decreases as the rack gets further from the player.

Answer: A. The distance remains constant throughout the transformation.

Step-by-step explanation: In a rigid motion, all moving points in the plane are moving in way such tha:

1)  relative distance between them stays the same and

2) relative position of the points stays the same

There are four types of rigid motions: translation, rotation, reflexion and glide reflection.

Translation: every point or object is moved by the same amount and in the same direction;

Rotation: the object rotates by the same amount around a fixed point;

Reflexion: the object exchange points from one side of a line with points on the other side of the line at the same distance from the line;

Glide Reflection: is a mirror reflection followed by a translation parallel to the mirror.

In the game of billiards, because all the balls are inside the triangular rack, the distance, and also the position, between them stays the same, limited by the rack. Since they are moving by the same amount in the same direction, the rigid transformation is a translation.

Therefore, the distance of the balls in the triangular rack remains constant throughout the transformation.

Gabriel has a square canvas that
measures 5/4 feet on each side. What is
the area of Gabriel's canvas?

Answers

Area = length x width

Area = 5/4 x 5/4 = 25/16 ft squared

Find the perimeter of a square with sides that measure (2/3)g centimeters.

Answers

Answer:

Perimeter of a SQUARE

4 x s

4 x 2.3 = 9.2 cm

Hence the perimeter of the square is 9.2cm

I need this please help me

Answers

Answer:

y=4/5(x)+10

Step-by-step explanation:

the slope of the line is 4/5 and the y intercept is 10

using the format y=mx+b where m is the slope and b is the y intercept we arrive at the equation

What is 9 5/6 minus 2 7/8 equal?

Answers

Answer:

[tex]\frac{167}{24}or[/tex] [tex]6\frac{23}{24}[/tex]

Step-by-step explanation:

[tex]9\frac{5}{6} -2\frac{7}{8} =[/tex]

Convert to an improper fraction.

[tex]\frac{59}{6}-\frac{23}{8}[/tex]

Find a common denominator.

[tex]\frac{236-69}{24}[/tex]

Simplify

[tex]\frac{167}{24}=6\frac{23}{24}[/tex]

good luck, hope this helps :)

is 5.97 repeating (5.97777) irrational?

Answers

Answer:

Rational

hope this helps

have a good day :)

Step-by-step explanation:

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