How tall is the pole if the pole casts a 24-foot shadow and a 3 and one half foot tall boy casts a 6-foot shadow while standing beside the pole?

Answer 1

Answer is 14 feet

Answer 2

By Similar Triangles.

#1 ; 3.5/6

#2 ; h/24

Equating

h/24 = 3.5 / 6

Algebraic rearrangement

h = 3.5 x 24 / 6

h = 3.5 x 4

h = 14 ft.