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Trig. Jeopardy! 100 100 100 100 100 100 200 200 200 200 200 200 300 300 300 300 300 300 400 400 400 400 400 400 500 500 500 500 500 500 100 24 y 37 x Answer: x=19.2 y=14.4 200 62 16 y x Answer: x=14.1 y=7.5 300 54 y 18 x Answer: x=24.8 y=30.6 400 x 25 16 Answer:x=39.8 500 • The angle of elevation from a sailboat to the top of a 145-foot lighthouse is 22 degrees. To the nearest foot, how far is the sailboat from the lighthouse? Answer: 358.9 feet 100 y 23 28 x Answer: x=43.3 y=49.0 200 70 y 18 x Answer: x=49.5 y=52.6 300 x 32 7 y Answer: x=11.2 y=13.2 400 37 x 19 Answer: x=59.1 500 Susan is flying a kite over her sister, Karen, who is approximately 125 meters away. When she holds the kite string down to the ground, the string makes a 39 degree angle with the level ground. To the nearest meter, how high is Susan’s kite? Answer: 101 meters 100 70 y 18 x Answer: x=28.7 y=31.9 200 31 y x 35 Answer: x=58.2 y=68.0 300 . x 41 11 y Answer: x=12.7 y=16.8 400 . 38 x 21 Answer: x=56.5 500 . 14 x 21 Answer: x=33.7 100 . 63 y 15 x Answer: x=29.4 y=33.0 200 58 y 24 x Answer: x=38.4 y=45.3 300 Evaluate the quotient of twice x and 5 to the nearest tenth. Daily Double! 58 24 x Answer: (x=38.4) 15.4 400 x 18 34 Answer: 62.1 500 A salvage ship’s sonar locates wreckage at a 14 degree angle of depression. A diver is lowered 50 meters to the ocean floor. How far does the diver need to walk along the ocean floor to the wreckage? Answer: 200.5 100 38 y 21 x Answer: x=35.5 y=13.6 200 72 y 33 x Answer: x=101.6 y=106.8 300 y 13 34 x Answer: x=15.7 y=8.8 400 x 6 17 Answer: 70.6 500 A meteorologist shines a spotlight vertically onto the bottom of a cloud formation. He then places an anglemeasuring device 60 meters from the spotlight and measures a 71 degree angle of elevation form the ground to the spot of light on the clouds. How high are the clouds? Answer: 174.3 meters 100 y 42 38 x Answer: x=53.8 y=68.2 200 50 y 13 x Answer: x=15.5 y=20.2 300 y 19 47 x Answer: x=27.9 y=20.4 400 17 x Answer: 62.1 9 500 An air traffic controller must calculate the angle of decent (the angle of depression) for an incoming jet. The jet’s crew reports that their land distance is 44 km from the base of the control tower and that the plane is flying at an altitude of 4.8 km. Find the measure of the angle of decent to the nearest tenth of a degree. Answer: 6.2 degrees