In triangle ABC, m∠A = 35°, m∠B = 65°, and a = 8.71. Use the law of sines to find b. Round your answer to the nearest tenth.A.9.5B.23.7C.8.7D.13.

To solve for b, we can use the Law of Sines which states that the ratio of the length of a side of a triangle to the sine of the angle opposite that side is the same for all sides and angles in a given triangle.

In this case, we know:

m∠A = 35°, m∠B = 65°, and a = 8.71

We can set up the equation as follows:

a/sinA = b/sinB

Substituting the given values:

8.71/sin(35) = b/sin(65)

To solve for b, we can cross-multiply and get:

b = (8.71 * sin(65))/sin(35)

Now, just calculate the value of b using a calculator. Make sure your calculator is in degree mode since the angles are given in degrees.

After calculating, round your answer to the nearest tenth.