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 lo

Question

4 years ago

5

ng what is the height of the building

2 answers:

matrenka [14] · Answer 1 · 2022-01-04T16:42:23+03:00

8 0

6/4=b/24

1.5=b/24

24(1.5)=b

36=b

Building is 36 ft tall

lesya [120] · Answer 2 · 2022-01-04T17:52:53+03:00

Answer:

36 feet

Step-by-step 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,

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

$\frac{x}{24}=\frac{6}{4}$

$4x=144$ ( By cross multiplication )

$\implies x = 36$

Hence, the height of the building is 36 ft.