Question

When a building casts a 20 meter shadow, a woman that is 1.8 meters tall casts a shadow that is 2.4 meters long. What is the difference in the height of the building and it's shadow length? ​

Answer 1

Answer:

Difference = 5 meters

Step-by-step explanation:

Given that:

Length of shadow of building = 20 meter

Height of woman = 1.8 meters

Shadow length of woman = 2.4 meters

Height of building = x

Ratio of building's height to shadow = x : 20

Ratio of woman's height to shadow = 1.8 : 2.4

x : 20 :: 1.8 : 2.4

Product of mean = Product of extreme

20 * 1.8 = 2.4x

2.4x = 36

Dividing both sides by 2.4

$\frac{2.4x}{2.4}=\frac{36}{2.4}\\x=15$

Difference in height and shadow = 20 - 15 = 5 meters

Hence,

Difference = 5 meters