Question

A mailbox casts a 4 foot shadow. A nearby tree that measures 12 feet casts a 18 foot shadow. Write a proportion that can be used to determine the height of the mailbox

Answer 1

2.66foot

Explanation:

Given a tree which is 12 feet tall casts a 18 feet shadow.

We know that

`Tanx=(height of the object)/(length of the shadow)`

This Tanx is same for the maialbox too so

`(height of the mailbox)/(length of the shadow)=(height of the tree)/(length of the shadow)`

`(height)/(4)= (12)/(18)`

height = 2.66 foot