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Jeopardy Finding a Finding a missing Trig ratios missing side angle Word Problems Sec, csc, and cot 100 100 100 100 100 200 200 200 200 200 300 300 300 300 300 400 400 400 400 400 500 500 500 500 500 Category 1 100 Identify the hypotenuse, adjacent and opposite sides. Reference Angle C A B C Category 1 100 A Opposite B Hypotenuse Adjacent C Category 1 200 What does SOH-CAH-TOA mean? Category 1 200 Sine Opposite over Hypotenuse Cosine Adjacent over Hypotenuse Tangent Opposite over Adjacent Category 1 300 Write the following Trig ratio: Cos A 12 C A 20 16 B Category 1 300 Cos A = 12/20 = 3/5 12 C A 20 16 B Category 1 400 Write the following Trig ratio: Y Tan X 16 Z 12 20 X 400 Category 1 Tan X = 16/12 = 4/3 Y 16 Z 12 20 X 500 Category 1 Write the following Trig ratios: sin A, cos A, tan A 39 A B 15 36 C 500 Category 1 sin A = 15/39 = 5/13 cos A = 36/39 = 12/13 tan A = 15/36 = 5/12 39 A B 15 36 C 100 Category 2 Find the missing Side. Found to the nearest tenth. x 72o 5 Category 2 100 x = 16.2 Category 2 200 Find the missing Side. Found to the nearest tenth. x 24o 12 Category 2 200 x = 5.3 Category 2 300 Find the missing Side. Found to the nearest tenth. 14 x 49o Category 2 300 x = 12.2 400 Category 2 Find the missing Side. Found to the nearest tenth. 14 51o x Category 2 x = 18.0 400 Category 2 500 Find the missing Side. Found to the nearest tenth. x 21 65o Category 2 500 x = 52.0 Category 3 100 Find the missing angle. Found to the nearest degree. 42 ? 40 Category 3 100 o 72 200 Category 3 Find the missing angle. Found to the nearest degree. 27 ? 11 Category 3 200 o 24 Category 3 300 Find the missing angle. Found to the nearest degree. 13 20 ? Category 3 300 o 49 Category 3 400 Find the missing angle. Found to the nearest degree. 12 ? 24 Category 3 400 o 30 Category 3 500 Find the missing angle. Found to the nearest degree. 51 ? 68 Category 3 500 53o Category 4 100 A 15-foot ladder is leaning against a wall creating a 36o angle. How high up the wall does the ladder reach? Category 4 x = 12.1 feet 100 Category 4 200 A ship is approaching a lighthouse with a sailor on its bow. The sailor is looking at the top of the lighthouse with a range finder. The top of the lighthouse is 500 yards away at an angle of 18˚. How far is the ship away from the lighthouse? Category 4 475.5 yards 200 Category 4 300 A pine tree sits in a clearing. It casts a 45 foot shadow on the ground. The angle from the end of the shadow to the top of the tree is 40˚. How tall is the tree? Category 4 37.8 feet 300 Category 4 400 A boy flying a kite lets out 300 feet of string which makes an angle of 38o with the ground. Assuming that the string is straight, how high above the ground is the kite. Category 4 184.7 feet 400 Category 4 500 An airplane climbs at an angle of elevation 11o with the ground. Find the ground distance it has traveled when it has attained an altitude of 400 feet. Category 4 2057.8 feet 500 Category 5 100 Cosecant A is the reciprocal in of which trigonometric function? Category 5 Sine A Csc A = 1/sin A 100 Category 5 200 Cotangent A is the reciprocal in of which trigonometric function? Category 5 Tangent A Cot A = 1/tan A 200 Category 5 300 Secant A is the reciprocal in of which trigonometric function? Category 5 Cosine A Sec A = 1/cos A 300 400 Category 5 What are two ratios we could use to represent the following ratio: a/b A c B b a C Category 5 Sin A = Cos C = a/b 400 500 Category 5 What are two ratios we could use to represent the following ratio: c/a A c B b a C Category 5 Tan C = Cot A = c/a 500