Question

Using the diagram, find sin B. Express your answer as a decimal rounded to the nearest hundredth, such as .86 or 0.86.

Answer 1

Hi, thank you for posting your question here at Brainly.

This problem could be solved using the Law of Cosines, since we are given with the three sides. The equation goes,

b^2 = a^2 + c^2 - 2accosB. Substituting,

24^2 = 7^2 + 25^2 - 2(7)(25)cosB

Then B = 73.7 degrees. Therefore sinB or sin(73.7) = 0.96.