Right Triangle Trigonometry Jeopardy

Trig Functions

100

What is the ratio for sin?

Opposite over Hypotenuse

200

What is the ratio for cosine? 

Adjacent over Hypotenuse 

300

What is the ratio of tangent?

Opposite over Adjacent 

400

How would you find the inverse of sin? 

sin^-1 (opposite over adjacent) 

500

How would you take the inverse of cos? 

cos^1 (adjacent over hypotenuse) 

Find the missing Angle

100

Find theta with the given information. Adjacent = 12 Hypotenuse = 13

22.6 degrees

200

Find theta: Adjacent =13 Opposite = 4

17.1 degrees

300

Find Theta: Opposite = 11.9 Adjacent = 10

50 

400

Find Theta: Hypotenuse = 9 Adjacent = 6

48.2

500

Find Theta: Opposite = 3 Adjacent = 3

45

Find the Missing Side

100

Find the missing Side: Theta = 37 Adjacent = 11 Hypotenuse = ?

13.8

200

Find the missing side: Theta = 32 Adjacent = 13 Opposite = x

8.1

300

Find the missing side: Adjacent = x Theta = 60 Hypotenuse = 11

5.5

400

Find the missing side: Theta = 50.1 Adjacent = 5 Opposite = x

6

500

Find the missing side: Opposite = 4 Adjacent = x Theta = 41

4.6

Special Rt Triangles

100

A 45-45-90 triangle has a leg 5, what is the hypotenuse?

5 sqr 2

200

Charlie is standing 42 feet away from the base of a building looking up with an angle of elevation of 48 degrees, at Quinton, who is fixing to throw a baseball down to him. How tall is the building?

46.6 feet tall

300

Hannah and Jennifer are at an apple farm picking apples off of a tree. Hannah bets Jennifer that she can climb to the top and get the highest apple, which is 52 ft off the ground. If Jennifer is 9 feet from the tree, what is the angle of elevation (theta) from Jennifer to Hannah in the tree?

80.2 degrees

400

Eric and Sam decide to have a Pokémon battle. Eric summons Charizard who stands at 18 feet high, and Eric is looking up at Charizard with an angle of elevation of 27 degrees, how far away is Erick from his Pokémon?

35.3 feet away

500

Carter is playing golf. Carter smashes a drive with an angle of elevation of 15 degrees. If the highest point of the drive was at 60 feet, how far was the ball when it was at 60 feet in the air? 

224 feet

Trig functions again...

100

In triangle ABC, angle A is a right angle. If tan of b = 8/9. Find cos b.

cos b = 9/12

200

In triangle ABC, angle A is a right angle. If Cos a = 12/17, find sin b.

sin b = 12/17.

300

In triangle ABC, angle A is a right angle. If sec b is 11/7, find tan b.

tan b = 8.49/7.

400

In triangle ABC, angle A is a right angle. If cos c = 9/14, find the inverse of cos c. 

cos^-1 c = 50 degrees.

500

In triangle ABC, angle A is a right angle. If tan a = 12/15, find inverse of tan a.

tan^-1 a = 38.7 degrees