The distance between two control towers and at an airport is 1 931 meters. The angles of depression from an airplane to and are and respectively and the vertical projection of the plane . Find the vertical altitude of the plane giving the answer to the nearest tenth.
Michael wants to find the height of an oak tree in his garden. He decides he needs to make a clinometer in order to measure the angle of elevation. He uses a straw, a protractor, some string, and a bit of Blu-Tack as a weight. Michael stands at a perpendicular distance of 100 ft from the base of the tree and measures the angle on his clinometer to be as seen in the diagram.
Work out the angle of elevation.
Given that Michael’s eyeline is 6 ft from the ground, work out the height of the tree to the nearest foot.
A building is 3 meters tall. The angle of elevation from the top of the building to the top of the tree is , and the angle of depression from the top of the building to the base of the tree is . Find the height of the tree giving the answer to two decimal places.