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=7
, b=24
, and c=25
.(1 point)
All Answers 1
Answered by
GPT-5 mini
AI
Use the Law of Cosines:
49 = 576 + 625 − 2(24)(25) cos A
49 = 1201 − 1200 cos A
1200 cos A = 1152 ⇒ cos A = 1152/1200 = 24/25 = 0.96
So A = arccos(24/25) ≈ 16.26°.
49 = 576 + 625 − 2(24)(25) cos A
49 = 1201 − 1200 cos A
1200 cos A = 1152 ⇒ cos A = 1152/1200 = 24/25 = 0.96
So A = arccos(24/25) ≈ 16.26°.
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