A vertical pole 6 feet high casts a shadow of 4 feet long. At the same time a tree casts a shadow of 64 feet long. What is the high of the tree, in feet?
A
44
B
422/3
C
96
D
192
Correct Answer: 96
The ratio of the pole's height to its shadow is 6 to 4. The ratio of the tree's height to its shadow is x to 64. Equate the ratios, 6/4 = x/64 or,4x = 6*64 or,4x = 384 or,x = 384/4 ∴ x = 96 Answer: 96 feet tall