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

This is a proportion problem. Let the monument me x feet tall.
40/x=5/6
Cross multiply:
240=5x
x=48 ft.
So the monument is 48 ft tall,

Answer 2

`48\ ft`

Explanation:

we know that

Adam is
`6` feet tall and casts a
`5`-foot shadow

A monument casts a
`40`-foot shadow

so

by proportion

Find how tall is the monument

Let

x------> the height of the monument

`(6)/(5)=(x)/(40)\\ \\ x=40*6/5\\\\x=48\ ft`