Question

A shadow 8 meters long is cast by a maypole that is 6 meters tall. What is the length of the shadow cast by a nearby maple tree that is 9 meters tall?

A) 6 meters
B) 8 meters
C) 10 meters
D) 12 meters

Answer 1

The length of the shadow cast by the nearby maple tree is 12 meters.

Step-by-step explanation:

To find the length of the shadow cast by the nearby maple tree, we can set up a proportion based on the ratio of the heights of the maypole and the maple tree to the lengths of their respective shadows.

Let x be the length of the shadow cast by the maple tree. The proportion is:

6/8 = 9/x

Cross multiplying, we get:

6x = 8 * 9

Simplifying, we have:

6x = 72

x = 72 / 6

x = 12 meters

Therefore, the length of the shadow cast by the nearby maple tree is 12 meters.