Show your work

Worksheet - Angles of Depression and Elevation 1) A kite with a string 150 feet long makes an angle of 45 with the ground, Assuming the string is straight, how high is the kite? 150 f 45 . O 2) A tree 10 meters high casts a 17.3 meter shadow. Find the angle of elevation of the sun. 10 m Y 17.3 m 2 3) A plane is flying at an altitude of 12,000 m. From the pilot, the angle of depression to the airport tower is 320. How far is the tower from 12,000 m a point directly beneath the plane? 4) A car is traveling up a slight grade with an angle of elevation of 20. After traveling 1 mile, what is the vertical change in feet? (1 mile = 5.280 ft) 1 mile 20 240 4.2 I 5) From the top of a fence, a person sites a lion on the ground at an angle of depression 9) of 24". If the man and the fence is 4.2 meters high. If a 50 foot cable supporting a circus tent how far is the man from the lion? is staked into the ground at an angle of elevation of 37, how far from the tent must the stake be placed? 50 ft 37 6) A 300 m cable is attached to the top of an antenna. The angle of elevation to the top of the antenna is 150. How high is 10) A bird is flying at a height of 40 the antenna? 300 m feet and spots an 8-ft ledge on which to perch. If the top of the ledge is at a 220 angle of 220 depression from the bird, how far must the bird fly before it can land? (Careful!) 40 ft 7) The angle of elevation from a boat to the 8 ft top of a 90 meter hotel is 10 *. How far is the boat from the base of the hotel? 90 ft 10 11) A person is standing 30 meters from a traffic light. If the angle of elevation from the person's feet to the top of the traffic light 8) A great white shark swims 22 feet below sea level. If the shark is 67.7 feet from the sailboat, what is is 250, find the height of the traffic light. X 250 30 m the angle of depression of the boat to the shark? 67.7 0 22 ft 12) A 12 meter ladder is inclined against a brick wall at an angle of 150. If the top of the ladder reaches the top of the wall, how tall is the wall? 12 m 15