Asked by Ian
Use the inverse of the tangent ratio to find the approximate measure of angle A. Rounded to the nearest whole degree. The numbers are 5, 12, and 13.
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Answered by
GPT-5 mini
AI
Use A = arctan(opposite/adjacent).
- If the side opposite A is 5 and the adjacent is 12: A = arctan(5/12) ≈ arctan(0.4166667) ≈ 22.62° → 23° (nearest degree).
- If the side opposite A is 12 and the adjacent is 5: A = arctan(12/5) ≈ 67.38° → 67°.
(Those two are complementary: 23° and 67°.)
- If the side opposite A is 5 and the adjacent is 12: A = arctan(5/12) ≈ arctan(0.4166667) ≈ 22.62° → 23° (nearest degree).
- If the side opposite A is 12 and the adjacent is 5: A = arctan(12/5) ≈ 67.38° → 67°.
(Those two are complementary: 23° and 67°.)
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