1. An engineer determined that the angle of elevation from his position to the top of a tower is 52°. he then measured the angle of elevation from a point 50 ft farther away the base of the tower at 32°. both positions are due east of the tower. find the height of the tower.
2. The top of a tree was sighted having an angle of elevation of 38° at a distance of 100 feet from the base of the tree. find the height of the tree.
(1) Let the height of the tower be h ft and the man's initial position be d ft from the tower.
Neat and step-by-step solution is provided.