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

Respuesta :

ANSWER

About 51.8 ft

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:

[tex]\frac{23}{8}[/tex]

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:

[tex]\begin{gathered} \frac{x}{18}=\frac{23}{8} \\ x=\frac{23}{8}\times18=51.75 \end{gathered}[/tex]

Ver imagen AmarachukwuH54701