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Trig Ratios
Find the Side
Find the Angle
Solving Right Triangles
100

A flagpole casts a 42-foot shadow. If the angle of elevation of the sun is 57.4°, what is the height of the flagpole?

What is 65.7 feet

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
The solution for solving a triangle given side lengths 2 and 2.2. (Round all side lengths and angle measurements to the nearest tenth)
What are side lengths 2, 2.2, and 3; and angle measurements 41.8, 48.2, and 90?
200

A 37-foot tree casts a 27-foot shadow.  What is the angle of elevation of the sun?

What is 53.9 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
The solution for a triangle given the angle measurement 53 degrees and opposite length 2. (Round all answers to the nearest tenth.)
What are the angle measurements 37, 53, and 90 degrees; and side lengths 1.5, 2, 2.5?What is
300

An airplane is flying at 4000 feet above the ground.  If the angle of depression from the airplane to the beginning of the runway is 5.4°, what is the horizontal distance to the nearest tenth of a mile of the airplane to the beginning of the runway?

What is 42,315.6 feet

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
The solution for solving a triangle given the angle measurement 39 degrees and opposite side length 3. (Round all answers to the nearest tenth.)
What are the angle measurements 39, 51, and 90 degrees; and side lengths 3, 3.7, 4.8.
400

A builder wishes to construct a ramp 24 feet long that rises to a height of 5 feet above the ground.  Find the angle of elevation of the ramp.

What is 11.8 degrees

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
The solution of a triangle given an angle measurement of 49 degrees and an opposite side length of 8. (Round all angle measurements to the nearest whole degree, and all side lengths to the nearest tenth)
What is angle measurements of 41, 49, and 90; and side lengths of 7, 8, and 10.6?
500

9.   A 20 foot ladder leans against a building so that the angle between the ground and the ladder is 72 degrees. How high does the ladder reach on the building?

What is 19.0 feet

500
The cosine of a triangle with angle A and opposite side length 5 and hypotenuse length 13.
What is 0.9?
500
The missing adjacent side length given an angle of 41 degrees and a opposite side length of 7. (Round to the nearest whole number.)
What is 8?
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
The solution of a triangle given the side length 37 and hypotenuse length 75. (Round all angle measurements to the nearest whole degree, and all side lengths to the nearest tenth)
What are angle measurements 37, 53, and 90 degrees; and side lengths 45, 60, and 75.
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