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
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.
