Special Right Triangles
Trig Ratios
Find the Side
Find the Angle
Mixed Problems
100

Given the shorter leg, the formula for finding the hypotenuse in a 30-60-90 triangle.

What is x times 2?

100

The trig ratio used when given the adjacent and hypotenuse lengths.

What is cosine?

100

The missing hypotenuse length given side lengths 9 and 12. (Round to the nearest tenth.)

What is 15?

100

The missing angle in a triangle given angle measurements 29 and 90 degrees.

What is 61?

100

Mail looks up to the top of a flag pole at an angle of 30 degrees. If she is standing 20 meters away from the flagpole and her eyes are 1.5 meters above the ground, how tall is the flag pole? (round to the nearest meter)

What is 13 METERS?

200

Given the shorter leg, the formula for finding the length of the longer leg in a 30-60-90 triangle.

What is x times the square root of 3?

200

The trig ratio used when given the opposite and adjacent lengths.

What is tangent?

200

The missing hypotenuse length given the angle 72 degrees and adjacent side length of 6. (Round to the nearest tenth)

What is 19.4?

200

The missing angle in a triangle given adjacent side length 16 and hypotenuse 20.3 (Round to the nearest whole degree)

What is 38 degrees?

200

Piano is standing 42 feet away from the base of a building looking up with an angle of elevation of 48 degrees, at Sun, who is going to throw a baseball down to her. How tall is the building? (round to the nearest tenth)

46.6 FEET

300

Given the hypotenuse, the formula for finding the length of the shorter leg in a 30-60-90 triangle.

What is x divided by 2?

300

The sine ratio of angle B if a=3, b=4 and hyp=5.

What is 4/5?

300

The missing leg length given an angle of 52 degrees and the adjacent side length of 12.5. (Round to the nearest whole number)

What is 16?

300

The missing angle measurement given an opposite side length of 5 and a hypotenuse length of 10.3 (Round to the nearest whole degree)

What is 29 degrees?

300

You and Daidai are at an apple farm picking apples. He bets that he can climb to the top and get the highest apple, which is 52 ft off the ground. If you stand 9 feet from the tree, what is the angle of elevation that you observe Daidai to be in the tree? (round to the nearest degree)

What is 80 degrees?

400

Given a leg, the formula for finding the length of the hypotenuse in a 45-45-90 triangle.

What is x times square root 2?

400

The tangent ratio of angle B if a=3, b=4 and hyp=5.

What is 4/3?

400

The missing opposite side length given an angle of 53 degrees and a hypotenuse of length 2.5 (Round to the nearest whole number.)

What is 2?

400

The two angle measurements given the same side lengths of 3.

What is 45 and 45 degress?

400

Ken is playing Pokémon. He summons Charizard who stands at 6 meters high, and Ken is looking up at Charizard with an angle of elevation of 27 degrees. How far away is Ken from his Pokémon? (round to the nearest tenth)

What is 11.8 METERS?

500

Given the hypotenuse, the formula for finding the length of a leg in a 45-45-90 triangle.

What is x divided by the square root of 2?

500

The cosine ratio of angle A if a=3, b=4 and hyp=5.

What is 3/5?

500

The missing adjacent side length given an angle of 41 degrees and an opposite side length of 7. (Round to the nearest tenth.)

What is 8.1?

500

The missing angle measurement given opposite side length 6.3 and adjacent side length 9. (Round to the nearest whole degree)

What is 35?

500

Find ALL angles and sides for a right triangle, given leg lengths of 2 and 2.2. (round to the nearest tenth)

What are side lengths 2, 2.2, and 3; and angle measurements 43.3, 47.7, and 90?