Make a sketch if you need to and solve this problem using similar triangles. A telephone pole has a shadow of 16 ft. When a person 5 ft. Tall has a shadow of 6 ft. How tall is the pole? write answer as a fraction. X = ft.

Answers

Answer 1

The height of the poll is 40/3 and 13.3ft.

Let us assume that the Height of an object is h.

Let us assume that the shadow of an object is y.

(As the shadow is always proportional to height .)

Thus y∝h

y = kh

As given

when a person 5 ft. tall has a shadow of 6 ft.

h = 5 ft and y = 6 ft

Put in y = kh

6 = 5k

[tex]k=\frac{6}{5}[/tex]

As given

A telephone pole has a shadow of 16 ft.  

Let us assume that the height of the pole is x.

h = x and y = 16 ft

16 = hk       compare the value of k

[tex]k=\frac{16}{x} \\\\\frac{6}{5} =\frac{16}{x} \\\\x=\frac{16*5}{6} \\\\x=\frac{80}{6} \\\\x=\frac{40}{3} ft[/tex]

0r

x=13.3ft

Therefore, The height of the poll is 13.3ft

To know more about the Height poll:

https://brainly.com/question/2254391

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

Volume of cuboid is length* breadth" height

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volume of traingular prism= this I don't know

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Answer:

Hi! The answer to your question is 1.25

Step-by-step explanation:

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☆Brainliest is greatly appreciated!☆

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- Brooklynn Deka

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answer:

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Hello!

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Answer:

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Answer:

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