Question

Two trees are growing in a clearing. The first tree is 18 feet tall and casts a 8 foot shadow. The second tree casts a 23 foot shadow. How tall is the second tree to the nearest tenth of a foot?- 33ft- about 51.8ft- about 29.4ft- about 6.3ft

Answer 1

About 51.8 ft

Step-by-step explanation

The trees and their shadows form similar triangles - since the shadow is made at the same time:

The ratio between the largest shadow and the smallest shadow is:

`(23)/(8)`

This ratio must be the same for the height if the trees, because the triangles are similar. Therefore, the height of the second tree is:

`\begin{gathered} (x)/(18)=(23)/(8) \\ x=(23)/(8)*18=51.75 \end{gathered}`