At the same time that a 60-feet tall building casts a shadow that 21.5 feet long, a nearby tree casts a shadow that is 18 feet long . Which measure is closest to the height of the tree ?
A
56.5 ft
B
50.2 ft
C
6.5 ft
D
3.3 ft
Correct Answer: 50.2 ft
Two similar right angle triangles can be drawn from the given information. Now, height of the tree/height of the building = shadow of the tree/ shadow of the building Therefore, height of the tree = (18/21.5) x 60 = 50.2