Question

A 20 ft tall ladder standing next to a statue casts a 12 ft shadow. If the statue casts a shadow that is 9 ft long then how tall is it?

Answer 1

Given that,

Length of the ladder = 20 ft

It casts a 12 ft shadow

To find,

If the statue casts a shadow that is 9 ft long then how tall is it?

Solution,

Let the ladder be x ft tall.

20 ft tall ladder = 12 ft shadow

9 ft tall ladder =

$\dfrac{20}{12}\times 9\\\\=15\ ft$

Hence, the required length is 15 ft.