Question

A 36 inch post cast a shadow of 24 inches. At the same time a telephone pole cast a shadow of 22 ft 8 in. What is the height in feet of the telephone pole?

Answer 1

The height of the telephone pole is of 408 inches = 34 ft.

Explanation:

Each foot has 12 inches.

A 36 inch post cast a shadow of 24 inches.

This means that the shadow is
`(24)/(36) = (2)/(3)` of the real height.

At the same time a telephone pole cast a shadow of 22 ft 8 in.

Each feet has 12 inches, so it has:

22*12 + 8 = 272 in.

2/3 of the real height is 272 in. So

`(2h)/(3) = 272`

`h = (272*3)/(2)`

`h = 408`

The height of the telephone pole is of 408 inches = 34 ft.