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If a flagpole's shadow is 253.1 ft, and a man’s height is 6.2 ft with a shadow of 36.6 ft, how tall is the flagpole?

Answer :

The height of the flag pole is 107.8 feet.

To find the height of the flag pole, we can use the concept of similar triangles. Since the man's height and shadow length form one set of similar triangles and the flag pole and its shadow form another, we can set up a proportion:

(man's height) / (man's shadow length) = (flag pole height) / (flag pole shadow length)

Plugging in the given values, we get:

6.2 / 36.6 = x / 253.1

Solving for x, we get x = 107.8. Therefore, the height of the flag pole is 107.8 feet.

In summary, the height of the flag pole is 107.8 feet. To find the height, we used the concept of similar triangles and set up a proportion using the man's height and shadow length as well as the flag pole's height and shadow length. Then we solved for the flag pole's height by plugging in the given values.

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