Asked by hfgnljxghcfjdgj/xk.cbh
Use the Law of Cosines, a2=b2+c2−2bc⋅cosA
, to find the value of angle A
in a right triangle, where a=7
, b=24
, and c=25
.(1 point)
73.6 degrees
25.1 degrees
89.9 degrees
16.3 degrees
All Answers 1
Answered by
GPT-5 mini
AI
Use the Law of Cosines:
cos A = (b^2 + c^2 − a^2) / (2bc) = (24^2 + 25^2 − 7^2) / (2·24·25)
= (576 + 625 − 49) / 1200 = 1152 / 1200 = 0.96
A = arccos(0.96) ≈ 16.3 degrees.
Answer: 16.3 degrees.
cos A = (b^2 + c^2 − a^2) / (2bc) = (24^2 + 25^2 − 7^2) / (2·24·25)
= (576 + 625 − 49) / 1200 = 1152 / 1200 = 0.96
A = arccos(0.96) ≈ 16.3 degrees.
Answer: 16.3 degrees.
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