The measure of angle E, the angle of elevation from point A to point B, is 5(x-2). The measure of angle D, the angle of depression from point B to point A, is (x+14). Find the measure of each angle.
The angle of elevation and the angle of depression are the same. (They are alternate interior angles between the parallel lines of the ground and "horizontal.") 5(x -2) = x +14 5x -10 = x +14 . . . . . . . eliminate parentheses 4x = 24 . . . . . . . . . . . . add 10-x x = 6
The angles of elevation and depression are both (6+14)° = 20°.