Question

Use the Law of Sines to find the indicated angle θ. Assume C = 63°, b = 56.3, c = 80.1. (Round your answer to one decimal place.)

Answer 1

im assuming theta is angle B ?

Answer 2

sin B/b = sinC/c

Answer 3

=> sinB = b sin C/c
= 56.3 * sin 63/ 80.1 =

Answer 4

56.3 * sin 63 degrees/ 80.1 =
0.626263013 ??

Answer 5

B = arcsin ( .63) =38 degree

Answer 6

like dumbcow said
(sin B)/b = (sinC)/c
sinB = b (sinC ) /c
= 56.3 x (sin 63) /80.1
= 0.626263012
that's the value of sin B only, B = sin^-1 (0.626263012) = 38.77 degrees