Jeopardy Trig ratios Finding a missing side Finding a missing angle Sec, csc, and cot Word Problems

Category Identify the hypotenuse, adjacent and opposite sides. Reference Angle C A BC

Category A BC Hypotenuse Opposite Adjacent

Category What does SOH-CAH-TOA mean?

Category Sine Opposite over Hypotenuse Cosine Adjacent over Hypotenuse Tangent Opposite over Adjacent

Category Write the following Trig ratio: Cos A B A C

Category B A C Cos A = 12/20 = 3/5

Category Write the following Trig ratio: Tan X X Y Z

Category X Y Z Tan X = 16/12 = 4/3

Category Write the following Trig ratios: sin A, cos A, tan A B A C

Category B A C sin A = 15/39 = 5/13 cos A = 36/39 = 12/13 tan A = 15/36 = 5/12

Category Find the missing Side. Found to the nearest tenth. x 5 72 o

Category x = 16.2

Category Find the missing Side. Found to the nearest tenth. x o

Category x = 5.3

Category Find the missing Side. Found to the nearest tenth. x o

Category x = 12.2

Category Find the missing Side. Found to the nearest tenth. x o

Category x = 18.0

Category Find the missing Side. Found to the nearest tenth. x o

Category x = 52.0

Category Find the missing angle. Found to the nearest degree ?

Category o

Category Find the missing angle. Found to the nearest degree ?

Category o

Category Find the missing angle. Found to the nearest degree ?

Category o

Category Find the missing angle. Found to the nearest degree ?

Category o

Category Find the missing angle. Found to the nearest degree ?

Category o

Category A 15-foot ladder is leaning against a wall creating a 36 o angle. How high up the wall does the ladder reach?

100 Category 4 x = 12.1 feet

200 Category 4 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?

200 Category yards

300 Category 4 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?

300 Category feet

400 Category 4 A boy flying a kite lets out 300 feet of string which makes an angle of 38 o with the ground. Assuming that the string is straight, how high above the ground is the kite.

400 Category feet

500 Category 4 An airplane climbs at an angle of elevation 11 o with the ground. Find the ground distance it has traveled when it has attained an altitude of 400 feet.

500 Category feet

Category 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 BC b a 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 BC b a c

500 Category 5 Tan C = Cot A = c/a