Question

Two points on the same side of the tree are 65 feet apart. The angles of elevation to the top of a 10.5 foot tree are 21˚19’ from one point and 16˚20’ from the other point. Find the distance from the tree to the closest point

Answer 1

The distance (d) from the tree to the closest point satisfies the relation
10.5/d = tan(21°19')
Then that distance is computed as
d = 10.5/tan(21°19')
d ≈ 26.9 . . . feet

The distance from the closest observation point to the tree is 26.9 ft.