Geometry and TrigonometryVery hardCosine of an angle from side ratio
Geometry and Trigonometry practice question
In right triangle KLM, the right angle is at M, and the hypotenuse KL is twice as long as leg KM. What is the measure of angle K?
- A. 60°Correct
- B. 30°
- C. 45°
- D. 90°
Answer: A. 60°
cos K = KM/KL = 1/2, so K = 60°.
Why the other answers are wrong
- B. 30°
- 30° would make cos K = √3/2.
- C. 45°
- 45° would make the legs equal.
- D. 90°
- The right angle is at M.
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