Answer Key for Drill Sheet 5 A school safety committee has recommended that a floodlight be mounted in a parking lot so as to illuminate the employee exit. Find the angle of depression of the floodlight. (adopted from Trigonometry 9th edition) θ θ 42.33 tan 52.34 θ 42.33 tan ( ) 52.34 1 θ θ 38.96 0 Suppose that the angle of elevation of the sun is 47.3° Find the length of the shadow cast by the building, which is 28 m tall. 28 tan 47.3 x 0 x tan 47.3 28 0 28 x 0 tan 47.3 28 m 47.3 ° x x = 25.84 m A ramp is 25 m long inclines at 15°. How high is its top end above the ground? x sin 15 25 0 25sin 15 x x 0 15 ° x = 6.47 m A man climbs 230 meters up the side of a pyramid and finds that the angle of depression to his starting point is 52.6°. How high is he from the ground? (Adopted from Soaring 21st century Mathematics) x sin 52.6 230 0 230 sin 52.6 x 0 x = 182.72 m 52.6 ° x A bird, flying 25 ft above the level ground, spots a mouse on the land. If the mouse is 10 ft horizontally away from the bird, what is the angle of elevation of the mouse to the bird? 25 5 tan θ 10 2 5 θ tan ( ) 2 1 θ 68.20 25 ft 0 θ 10 ft