Question

A 12 feet tall street light is making an 18 feet shadow at the same time in nearby building is making a 72 feet shadow

Answer 1

Answer: 48 ft

Step-by-step explanation:

Given

Height of street light h=12 ft

length of shadow x=18 ft

Shadow length of building x'=72 ft

suppose the height of the building is y

from the figure, we can write

$\Rightarrow \tan p=\dfrac{h}{x}=\dfrac{12}{18}\\\\\Rightarrow \tan p=\dfrac{y}{x'}=\dfrac{12}{18}\\\\\Rightarrow y=72\times \dfrac{2}{3}=48\ ft$