one tree measures 10 feet 6 inches tall and casts a shadow of 11 feet 3 inches long. The second tree casts a shadow of 17 feet 6 inches at the same time of day. What is the height of the second tree?

Answer 1

10 1/2 ft = 21/2 ft

11 1/4 ft = 45/4 ft

17 1/2 ft = 35/4 ft

(21/2)/(45/4) = t/(35/2)

Cross multiply!

(45/4)t = (21/2)(35/2)

(4/45)(45/4)t = (21/2)(35/2)(4/45)

t = 2940/180 = 16 1/3 ft