Right Triangle Trigonometry

Find the missing Angle

100

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

What is 22.6 degrees?

200

Find theta: Adjacent =13 Opposite = 4

What is 17.1 degrees?

300

Find Theta: Opposite = 11.9 Adjacent = 10

What is 50?

400

Find Theta: Hypotenuse = 9 Adjacent = 6

What is 48.2?

500

Find Theta: Opposite = 3 Adjacent = 3

What is 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 Opposite = x

What is 8.1?

300

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

What is 5.5?

400

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

What is 6?

500

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

What is 4.6?

Word Problems

100

A 10 ladder is leaning on the wall. If the base of the ladder is 6 feet from the base of the wall. What is the angle of elevation of the base of the ladder?

What is 53.1 degrees?

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

100

What is the ratio for sin?

What is Opposite over Hypotenuse.

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 tan b = 8/6. Find cos b.

cos b = 9/10

400

In triangle ABC, angle A is a right angle. If cos c = 12/13 find tan c.

tan c = 5/12

500

In triangle ABC, angle A is a right angle. If cos b = 12/15, find tan c

tan c = 12/9