Geometry and TrigonometryHardTangent of the smaller acute angle
Geometry and Trigonometry practice question
A right triangle has legs of length 5 and 12. What is the tangent of the smaller acute angle?
- A. 5/12Correct
- B. 12/5
- C. 5/13
- D. 12/13
Answer: A. 5/12
The smaller acute angle is opposite the shorter leg, 5, and adjacent to 12: tan = 5/12.
Why the other answers are wrong
- B. 12/5
- 12/5 is the tangent of the larger acute angle.
- C. 5/13
- 5/13 is the sine of the smaller angle.
- D. 12/13
- 12/13 is its cosine.
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