Question

A monument casts a 40-foot shadow. Adam is 6 feet tall and casts a 5-foot shadow. How tall is the monument?

Answer 1

I found `48"ft"`

Explanation:

Consider the diagram:

The angle `alpha` is the same; so considering the triangle formed by Adam:
`tan(alpha)=(h')/(a')=6/5`
`alpha=arctan(6/5)=50.19^@`
using this in the triangle formed by the monument:
`tan(alpha)=(h)/(a)`
`h=a*tan(alpha)=40*6/5=48"ft"`