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

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=(h)/(x)=(12)/(18)\\\\\Rightarrow \tan p=(y)/(x')=(12)/(18)\\\\\Rightarrow y=72* (2)/(3)=48\ ft`