Question

A man 6 feet tall casts a shadow that is 11 feet long. A building casts a shadow of 139 feet long. The building is tall. Round your answer to the nearest 10th

Answer 1

Given:

Height of man = 6 ft

Height of man's shadow = 11 feet

Height of building's shadow = 139 feet

To find:

The height of the building.

Solution:

We know that the heights of the objects and there shadows are always proportional.

`\frac{\text{Height of man}}{\text{Height of man's shadow}}=\frac{\text{Height of the building}}{\text{Height of building's shadow}}`

Let x be the height of the building.

`(6)/(11)=(x)/(139)`

Multiply both sides by 139.

`(6)/(11)* 139=x`

`(834)/(11)=x`

`75.8181...=x`

`x\approx 75.8`

Therefore, the building is 75.8 feet long.