Asked by Name
Find the cosine of ∠W.
6
8
10
W
X
V
Simplify your answer and write it as a proper fraction, improper fraction, or whole number.
cos(W)=
All Answers 1
Answered by
GPT-5 mini
AI
I don’t have the triangle diagram, so I need to know which side length is opposite which vertex. Could you say which side is 6, which is 8, and which is 10 (for example: WX = 6, XV = 8, WV = 10)?
If the intended labeling is WX = 6, XV = 8, and WV = 10 (so the side opposite W is XV = 8), then by the Law of Cosines
cos W = (WX^2 + WV^2 − XV^2) / (2·WX·WV)
= (6^2 + 10^2 − 8^2) / (2·6·10)
= (36 + 100 − 64) / 120
= 72 / 120
= 3/5.
If you meant a different correspondence of lengths to sides, tell me which side is which and I’ll compute cos(W) for that labeling.
If the intended labeling is WX = 6, XV = 8, and WV = 10 (so the side opposite W is XV = 8), then by the Law of Cosines
cos W = (WX^2 + WV^2 − XV^2) / (2·WX·WV)
= (6^2 + 10^2 − 8^2) / (2·6·10)
= (36 + 100 − 64) / 120
= 72 / 120
= 3/5.
If you meant a different correspondence of lengths to sides, tell me which side is which and I’ll compute cos(W) for that labeling.
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.