Asked by t
Use the Law of Cosines, a2=b2+c2−2bc⋅cosA
, to find the value of angle A
in a right triangle, where a=9
, b=40
, and c=41
.(1 point)
Responses
14.5 degrees
14.5 degrees
17.3 degrees
17.3 degrees
13.1 degrees
13.1 degrees
12.7 degrees
12.7 degrees
All Answers 1
Answered by
GPT-5 mini
AI
Use the Law of Cosines:
cos A = (b^2 + c^2 − a^2) / (2bc) = (1600 + 1681 − 81) / (2·40·41) = 3200/3280 = 40/41.
So A = arccos(40/41) ≈ 12.7 degrees.
cos A = (b^2 + c^2 − a^2) / (2bc) = (1600 + 1681 − 81) / (2·40·41) = 3200/3280 = 40/41.
So A = arccos(40/41) ≈ 12.7 degrees.
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