If the length of a is 6, the length of b is 4, and the length of c is 7, what is the measure of angle B

B = 34.77°

Step-by-step explanation:

For this problem you are given all three side lengths and asked to find an angle. To do this you can use the law of cosines which is written:

This can be rearranged to find the angle B:

With lowercase letters being sides and uppercase being angles.

We simply plug in the sides and solve:

0.8214 = Cos (B)

Then you use inverse cosine to get angle B alone.

B = 34.77°

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