Geo Mod 5.5 Angles of Elevation & Depression

Suppose the sun casts a shadow off a 35-foot building. If the angle of elevation to the sun is 60°, how long is the shadow to the nearest tenth of a foot? 60.6 feet 20.2 feet 16.3 feet 54.3 feet From her position in a hot-air balloon, Zoey can see her car parked in a field. If the angle of depression is 8° and Zoey is 38 meters above the ground, what is the straight line distance from Zoey to her car? Round to the nearest whole meter. 270 meters 5 meters 273 meters 38 meters A roofer props a ladder against a wall so that the top of the ladder reaches a 30-foot roof that needs repair. If the angle of elevation from the bottom of the ladder to the roof is 55°, how far is the ladder from the base of the wall? Round your answer to the nearest foot. 17.2 ft 37 ft 21 ft 43 ft The angle of depression from the top of a sheer cliff to point A on the ground is 35°. If point A is 280 feet from the base of the cliff, how tall is the cliff? 196 ft 400 ft 161 ft 203 ft The angle of depression from a balloon on a 75-foot string to a person on the ground is 36°. How high is the balloon? 127.5 ft 60.7 ft 44.1 ft 92.7 ft A ski run is 1000 yards long with a vertical drop of 208 yards. Find the angle of depression from the top of the ski run to the bottom. 78 degrees 12 degrees 79 degrees 13 degrees From the top of a 120-foot-high tower, an air traffic controller observes an airplane on the runway at an angle of depression of 19°. How far from the base of the tower is the airplane? 348.5 ft 41.3 ft 369.3 ft 39.8 ft The angle of elevation from point A to the top of a hill is 49°. If point A is 400 feet from the base of the hill, how high is the hill? 347.7 ft 530 ft 460.1 ft 301.9 ft Find the angle of elevation of the sun when a 12.5-meter-tall telephone pole casts a 18-meter-long shadow. 44 degrees 45 degrees 55 degrees 35 degrees A ladder leaning against a building makes an angle of 78° with the ground. The foot of the ladder is 5 feet from the building. How long is the ladder? 24.0 ft 1.0 ft 5.1 ft 23.5 ft Jenna is at the end of a pier 30 feet above the ocean. Her eye level is 3 feet above the pier. She is using binoculars to watch a whale surface. If the angle of depression of the whale is 20°, how far is the whale from Jenna's binoculars? Round to the nearest tenth foot. 80.3 ft 96.5 ft 87.7 ft 90.7 ft A student can see a water tower from the closest point of the soccer field at San Lobos High School. The edge of the soccer field is about 110 feet from the water tower and the water tower stands at a height of 32.5 feet. What is the angle of elevation if the eye level of the student viewing the tower from the edge of the soccer field is 6 feet above the ground? Round to the nearest degree. 16 degrees 19 degrees 76 degrees 14 degrees Kendra is standing on a mesa at the Painted Desert. The elevation of the mesa is about 1380 meters and Kendra's eye level is 1.8 meters above ground. If Kendra can see a band of multicolored shale at the bottom and the angle of depression is 29°, about how far is the band of shale from her eyes? Round to the nearest meter. 1382 m 2493 m 2850 m 2490 m A person whose eyes are 5 feet above the ground is standing on the runway of an airport 100 feet from the control tower. That person observes an air traffic controller at the window of the 132-foot tower. What is the angle of elevation? 56 degrees 52 degrees 37 degrees 4 degrees A kite is flying at an angle of elevation of about 40°. All 80 meters of string have been let out. Ignoring the sag in the string, find the height of the kite? 67.1 m 124.5 m 51.4 m 104.4 m