Given the indicated parts of triangle ABC with y 90deg appr

Given the indicated parts of triangle ABC with y = 90deg, approximate the remaining parts.

c = 71,    = 52deg

Solution

C = 90 deg

c = 71

B = 52 deg

A = 180 - 90 - 52 = 38 degree

sinB = b/c =====> b = c*sinB = 71*sin52 = 55.95

tanB = b/a = 55.95/a =======> a = 55.95/tanB = 55.95/ tan52 = 43.71