Trigonometry Pt. 2

If you are given a right triangle like shown above, you can find the missing values (side a and angle B) with a little bit of simple trigonometry and geometry.

Using SOH CAH TOA you should be able infer that sin(30.7) = (a/c)

Since c is 10.5, 10.5sin(30.7) = a

So a≈5.3607

You've solved for the sides

Now, subtract the two angles from 180° to find your final angle.

B=59.3°