Question

Jenn wants to measure the height of a tree. She walks exactly 125 feet from the base of the

tree and looks up. The angle of elevation from the ground to the top of the tree is 33º. How
tall is the tree? Which equation would be used to solve this problem?

Answer 1

`81.2\:\mathrm{ft}`

Explanation:

We can form a right triangle and use basic trig for a right triangle to solve this problem:

`\tan33^(\circ)=(h)/(125)`, where
`h` is the height of the tree.

Solving, we get:

`h=125\cdot \tan 33^(\circ),\\h\approx \fbox{$81.2\:\mathrm{ft}$}`.