Question

Two trees are growing in a clearing. The first tree is 12 feet tall and casts an 8-foot shadow. The second tree casts an 11-foot shadow. How tall is the second tree to the nearest tenth of a foot?

Answer 1

The height of the second tree is approximately 16.5 feet.

Step-by-step explanation:

To find the height of the second tree, we can set up a proportion using the ratios of the first tree's height and shadow length to the second tree's shadow length. The proportion would be:

12 feet / 8 feet = x feet / 11 feet

Cross multiplying and solving for x, we get:

x = (12 feet * 11 feet) / 8 feet = 16.5 feet

Therefore, the height of the second tree is approximately 16.5 feet.