Question

A building across the street casts a shadow that is 24 feet long your friend is 6 feet tall and casts a shadow that is 4 feet long what is the height of the building

Answer 1

6/4=b/24

1.5=b/24

24(1.5)=b

36=b

Building is 36 ft tall

Answer 2

36 feet

Explanation:

Let x be the height of the building,

Given,

Length of the building's shadow = 24 ft,

Height of the person = 6 feet,

Length of person's shadow = 4 feet.

Since, at the same time,

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

`(x)/(24)=(6)/(4)`

`4x=144` ( By cross multiplication )

`\implies x = 36`

Hence, the height of the building is 36 ft.