Question

A pole has a shadow that is 15 feet long. Mary is 4 feet tall and her shadow is 10 feet tall. How tall is the pole?

Answer 1

I got `6"ft"`

Explanation:

Let us see the situation:

The two angles `alpha` are the same and we can use trigonometry applied to Mary and write:
`tan(alpha)=4/10`
and to the pole:
`tan(alpha)=h/15`

combining the `tan` we get:

`4/10=h/15`

and finally:
`h=4/10*15=6"ft"`