Question

PLEASE HELP!! I NEED THIS TO PASS.

What is the value of q? Show all work. Don’t forget to label your answer.

Thank you.

Answer 1

Let's apply the Law of Cosines here. We want the measure of the angle opposite the side with length 16.

Call that angle C.

Then 16^2 = 36^2 + 28^2 - 2(36)(28)cos C.

Solving for C: cos C = 16^2 - 36^2 - 28^2
------------------------- = 0.904, and C = 0.44 rad
-2(28)(36) or C = 25.21 degrees

So each of the 2 equal angles shown has the measure 25.21 degrees.

Unfortunately, I don't know the direction we should go from this point on.