Question

A 6-foot tall person standing next to a sculpture casts a shadow that is 12 feet long. if the sculpture casts a shadow that is 4 feet long, how tall is the sculpture ?

Answer 1

Height of the sculpture = 2’

Explanation:

Shadow of the person S_1 = 12’ long

Height of the person H_1 = 6’

Shadow of the sculptures S_2 = 4’ long

Height of the sculpture H_2 = ?

`H_2 / H_1 = S_2 / S_1`
`H_2 = (S_2 / S_1) * H_1`
`H_2 = (4/12) * 6 = ((cancel(4) 1) / (cancel(12) 3)) * 6`
`H_2 = (1/(cancel(3))) * (cancel (6) 2) = 2’`

Height of the sculpture = 2’