Special Right Triangles
Trig Ratios
Find the Side
Find the Angle
Law of Sines
100
The angle measurement that is missing when the given angle measurements are 45 and 90 degrees.
What is 45 degrees?
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

Complete The Law of Sines: sinA/? = sinB/? = sinC/?

What is a, b, c?

200
The missing angle measurement when the given angle measurements are 60 and 90 degrees.
What is 30 degrees?
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

Find the indicated part of triangle ABC: a=14, angle A=25 degrees, angle B=75 degrees, b=?

What is 32.0?

300
The formula to find the hypotenuse in a 45-45-90 degree triangle. [Hint: Use the textbook formulas.]
What is x times the square root of 2?
300
The sine of a triangle with angle A and opposite side length 4 and hypotenuse length 20. (Round to the nearest tenth)
What is 0.2?
300
The missing side 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

Two angles of a triangle measure 32 degrees and 53 degrees. The longest side is 55 cm. Find the length of the shortest side.

What is 29.3 cm?

400
The formula for finding the hypotenuse in a 30-60-90 degree triangle.
What is 2x (two times x)?
400
The tangent of a triangle with angle Z and adjacent side length 15 and opposite side length 10. (Round to the tenths place)
What is 0.7?
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

Given that m<B is 51 degrees and m<A is 71degrees and a = 9.8 cm. Find the value of b . Round your answer to the nearest tenth. 

What is 8.1 cm?

500
The formula for finding the length of the longer leg in a 30-60-90 degree triangle.
What is x times the square root of 3?
500

John is looking at the top of an Flag pole. If the flag pole is 25 ft. tall and he is 42 ft. from it, what is the angle of his eyesight hitting the flag pole. Use the inverse of the tangent Ratio.

What is 59.2 degrees.

500

Roofers need to know how long of a ladder they need. The roof is 16 feet high and the bottom of the ladder will be placed 12 feet from the building. What is the length of the ladder?

20 feet

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

How long is the base of an isosceles triangle if each leg is 27 cm and each base angle measures 23 degrees?

What is 49.7cm?

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