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Jeopardy. Finding a missing angle. Finding a missing side. Word Problems. Sec, csc , and cot. Trig ratios. 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. 100. Category 1.
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Jeopardy Finding a missing angle Finding a missing side Word Problems Sec, csc, and cot Trig ratios 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
100 Category 1 Identify the hypotenuse, adjacent and opposite sides. Reference Angle C A B C
100 Category 1 Hypotenuse A Opposite Adjacent B C
200 Category 1 What does SOH-CAH-TOA mean?
200 Category 1 Sine Opposite over Hypotenuse Cosine Adjacent over Hypotenuse Tangent Opposite over Adjacent
300 Category 1 Write the following Trig ratio: Cos A A 12 C 20 16 B
300 Category 1 Cos A = 12/20 = 3/5 A 12 C 20 16 B
400 Category 1 Write the following Trig ratio: Tan X Y 16 12 Z X 20
400 Category 1 Tan X = 16/12 = 4/3 Y 16 12 Z X 20
500 Category 1 Write the following Trig ratios: sin A, cos A, tan A 39 B A 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 B A 15 36 C
100 Category 2 Find the missing Side. Found to the nearest tenth. x 72o 5
100 Category 2 x = 16.2
200 Category 2 Find the missing Side. Found to the nearest tenth. x 24o 12
200 Category 2 x = 5.3
300 Category 2 Find the missing Side. Found to the nearest tenth. 14 49o x
300 Category 2 x = 12.2
400 Category 2 Find the missing Side. Found to the nearest tenth. 14 51o x
400 Category 2 x = 18.0
500 Category 2 Find the missing Side. Found to the nearest tenth. x 21 65o
500 Category 2 x = 52.0
100 Category 3 Find the missing angle. Found to the nearest degree. 42 40 ?
100 Category 3 72o
200 Category 3 Find the missing angle. Found to the nearest degree. 27 11 ?
200 Category 3 24o
300 Category 3 Find the missing angle. Found to the nearest degree. 13 ? 20
300 Category 3 49o
400 Category 3 Find the missing angle. Found to the nearest degree. 12 ? 24
400 Category 3 30o
500 Category 3 Find the missing angle. Found to the nearest degree. 51 ? 68
500 Category 3 53o
100 Category 4 A 15-foot ladder is leaning against a wall creating a 36o angle. How high up the wall does the ladder reach?
Category 4 100 x = 12.1 feet
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 4 200 475.5 yards
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 4 300 37.8 feet
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 4 400 184.7 feet
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 4 500 2057.8 feet
100 Category 5 Cosecant A is the reciprocal in of which trigonometric function?
100 Category 5 Sine A Csc A = 1/sin A
200 Category 5 Cotangent A is the reciprocal in of which trigonometric function?
200 Category 5 Tangent A Cot A = 1/tan A
300 Category 5 Secant A is the reciprocal in of which trigonometric function?
300 Category 5 Cosine A Sec A = 1/cos A
400 Category 5 What are two ratios we could use to represent the following ratio: a/b A b c a B C
400 Category 5 Sin A = Cos C = a/b
500 Category 5 What are two ratios we could use to represent the following ratio: c/a A b c a B C