Question

a 150 ft tree casts a shadow of 225 ft how many feet tall is a nearby tree that casts a 75 ft shadow at the same time

Answer 1

Consider that both trees and their shadows for two right triangles.

These triangles are similar, then, the proportion between similar sides must be equal.

The proportion between the tall of the trees is equal to the prportion to the length of their shadows. If x is the tall of the tree with the shadow os 75 ft, you have:

x/225 = 75/150

solve the previous equation for x:

x = (75/150)(225)

x = 112.5

Hence, the tall of the tree is 112.5 ft