Question

A person is standing 14.3m from the base of a tree. The angle of elevation to the top of the tree is 68 degrees. How tall is the tree? Answer to 1 decimal place.

Answer 1

`35.3` feet

Explanation:

The appropriate trigonometric value for adjacent and opposite sides of an angle is the tangent.
`tan(68) = x/14.3` ; `x = 14.3xxtan(68)`

`x = 14.3 xx 2.47 = 35.3` feet