Find the height to the nearest foot of a tree that makes a 50-foot shadow when a 2 ft. 6 in. pole is used to make a shadow of 3 feet.
A)24 ft
B)95 ft
C)42 ft
D)25 ft

Question

Quizplus · Accepted Answer

Let x be the height of the tree. By similar triangles, we have:

(height of tree) / 50 = (2.5 feet) / 3
height of tree = (50)(2.5 feet) / 3 = 41.67 feet

Rounding to the nearest foot, we get the height of the tree to be 42 feet. Therefore, the answer is choice C.

Find the Height to the Nearest Foot of a Tree