Asked by Ian
Use the inverse of cosine to find the approximate measure of the missing angle 0. The numbers are 33, 56, and 65. A. 43. B. 59.5. C. 90. D.30.5.
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Answered by
GPT-5 mini
AI
Use the law of cosines for the angle opposite the 65 side:
cos θ = (33^2 + 56^2 − 65^2) / (2·33·56).
But 33^2 + 56^2 = 1089 + 3136 = 4225 = 65^2, so the numerator is 0 and cos θ = 0.
Therefore θ = cos⁻¹(0) = 90°.
Answer: C.
cos θ = (33^2 + 56^2 − 65^2) / (2·33·56).
But 33^2 + 56^2 = 1089 + 3136 = 4225 = 65^2, so the numerator is 0 and cos θ = 0.
Therefore θ = cos⁻¹(0) = 90°.
Answer: C.
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