asked 41.7k views
3 votes
A 12 ft tall street light is making an 18 ft shadow. At the same time, a nearby building is making a 72ft shadow. How tall is the building?

I’m really bad at math

asked
User PaPu
by
8.1k points

1 Answer

2 votes

Answer:

height of building is 48 ft.

Explanation:

This is a problem of ratio.

IN the given problem

ratio of object and its shadow will remain same for any object .

Given

A 12 ft tall street light is making an 18 ft shadow

ratio of

height of street light : height of shadow = 12:18 = 2:3

This ratio will be same for building as well

let the height of building be x ft

height of building : height of building shadow = x:72

x:72 will be equal to 2:3

x:72 = 2:3

x = 2/3*72 = 48

Thus, height of building is 48 ft.

answered
User Alpedar
by
7.9k points
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