Lesson: Angles of Elevation and Depression

A building is 8 meters tall. The angle of elevation from the top of the building to the top of a tree is and the angle of depression from the top of the building to the base of the tree is . Find the distance between the base of the building and the base of the tree giving the answer to two decimal places.

The height of a lighthouse is 60 meters. The angles of elevation between two boats in the sea and the top of the lighthouse are and , respectively. Given that the two boats and the base of the lighthouse are colinear and that the boats are both on the same side of the lighthouse, find the distance between the two boats giving the answer to the nearest meter.

A ladder is leaning against a wall where the upper end is 4.5 m high from the ground. The angle of inclination of the ladder to the ground is . Find the length of the ladder giving the answer to two decimal places.