Question

A tree casts a shadow that is 20 feet long. the angle of elevation from the end of the shadow to the top of the tree is 66 degrees. determine the height of the tree to the nearest foot. answer

Answer 1

Answer:

Height of tree = 45 feet

Step-by-step explanation:

Refer the given figure.

Shadow length of tree, = AB = 20 ft

The angle of elevation from the end of the shadow to the top of the tree is 66 degrees.

∠ABC = 66°

We have

         $tan66=\frac{AC}{AB}\\\\AC=20\times tan66=44.92feet$

Height of tree = 44.92 feet = 45 feet

Answer 2

I believe it is 45 feet. Equation: tan(66)=20/x. Change it to 20 tan(66) in a calculator and that is how you get it.