Precal
posted by terry .
Find the length of side b to the nearest whole number if side a =
105, angle A = 65 degrees, and angle B = 37 degree.

since the angles add to 180°, C=78°
using the law of cosines,
b/sinB = a/sinA
b/sin37° = 105/sin78°
b = .6018 * 105/.9781
b = 64.60 = 65