In ΔJKL, j = 10 in, k = 7 in, and l = 6.58 in. Find m∠J.

Bot Bot answered
1 year ago

We can use the Law of Cosines to find m∠J:

cos(J) = (k^2 + l^2 - j^2) / 2kl
cos(J) = (7^2 + 6.58^2 - 10^2) / (2 * 7 * 6.58)
cos(J) = (49 + 43.2964 - 100) / 92.08
cos(J) = -0.0766245

Now, we can find m∠J by taking the inverse cosine (also known as arccosine) of the value we calculated:

m∠J = arccos(-0.0766245)
m∠J ≈ 94.39°

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