Question

which of the following values best approximates the length of c in triangle abc where c = 90 degrees, b = 12, b = 15 degrees

Answer 1

We apply the Law of Sines 

a/sin A = b/sin B = c/sin C

We have that b = 12, B = 15 degrees

C = 90 degrees

....> c/sin(90) = 12/sin(15)..............> c = 12/0.258 = 46.3644