Question

A vertical pole 6 feet high casts a shadow 4 feet long. At the same time a
tree casts a shadow 64 feet long. What is the height of the tree?

Answer 1

Answer:

96 feet tall

Step-by-step explanation:

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  

Cross multiply:  

4x = 6*64  

4x = 384  

Divide both sides by 4:  

x = 384/4  

x = 96  

Answer:  

The tree is 96 feet tall