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.

$\dfrac{\text{Height of man}}{\text{Height of man's shadow}}=\dfrac{\text{Height of the building}}{\text{Height of building's shadow}}$

Let x be the height of the building.

$\dfrac{6}{11}=\dfrac{x}{139}$

Multiply both sides by 139.

$\dfrac{6}{11}\times 139=x$

$\dfrac{834}{11}=x$

$75.8181...=x$

$x\approx 75.8$

Therefore, the building is 75.8 feet long.