In triangle ABC, what is the measure of b if a = 6, C = 4, and B = 75°?

A. 5.64
B. 6.29
C. 6.78
D. 7.02

Given:

In triangle ABC,  a = 6, c = 4, and B = 75°.

To find:

The measure of b.

Solution:

According to the Law of Cosine:

Substituting the given values in the above formula, we get

Taking square root on both sides, we get

The measure of side b is 6.29 units.

Therefore, the correct option is B.