Right Triangle Trigonometry Fun!

Trig Functions

100

What is the ratio for sin?

Opposite over the Hypotenuse 

200

What is the ratio for cosine?

Adjacent over the Hypotenuse

300

What is the ratio of tangent?

Opposite over adjacent?

400

What is hypotenuse over adjacent?

Secant

500

Take the reciprocal of opposite over adjacent. What is the new trig function?

cotangent

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

Tan45 = 14/x 

14

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 = ?

What is 13.8?

200

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

8.1 meter

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

Chicas 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?

What is 46.6 degrees?

300

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

What is 80.2 degrees?

400

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

What is 35.3 feet away?

500

Kobe, Carter, Emory, Jackson, Josh, and Cameron are all out 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? (Yes I am fully aware this won't generate a true right triangle. Draw it as though it were one.)

What is 224 feet?

Trig functions again...

100

In triangle ABC, angle A is a right triangle. 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 csc b.

csc b = 14/9.

500

In triangle ABC, angle A is a right angle. If cos a = 12/15, find the sec a.

sec a = 15/12