A tree stands 15 ft high. It's shadow is 5 1/2 ft long. A man 6 ft tall stands near the tree. What would be the length of the man's shadow to the nearest foot.

2.2 ft

Step-by-step explanation:

Solved by proportionality, if the tree is 15 ft long and casts a shadow of 5.5 ft, a man's shadow, 6 ft tall, should be proportional to the shadow cast by the tree, as follows:

6/15 (ratio between heights) = 5.5 / x (ratio between shadows)

solving for x we have:

x = 5.5 * 6/15

x = 2.2

Therefore, the shadow of the 6 ft tall man will be approximately 2.2 ft.