Question

Avery puts up a radio antenna tower in his

yard. Ella tells him that their city has a law
limiting towers to 50 ft in height. How can
Avery use the lengths of his shadow and the
shadow of the tower to show that his tower is
within the limit without directly measuring it.

Answer 1

Explanation:

Using similar triangles:

6ft height is to 5 feet shadow as tower height is to 40 ft tower shadow

6/5 = h / 40 <====solve for 'h'

40 * 6/5 = h = tower height = 48 feet tower height