Given the triangle below find the angle A and length of side

Given the triangle below, find the angle A and length of side.x Note: picture is NOT drawn to scale, but you can assume an angle that appears acute is acute and angle that appears obtuse is obtuse. 30 28 41° A/ Preview degrees Preview A= License Points possible: 2 This is attempt 1 of 2.

Solution

Given     a = 30,    b = 28,    c = x = ?

B = 41^o,    A = ?

Using law of sines,

sinA/a = sinB/b =====> sinA/30 = sin41/28

sinA = 30*(sin41/28) = 0.703

A = 44.7 degree

Then angle C = 180 – 41 – 44.7 = 94.3 degree

So,

sinC/c = sinA/a ========> sin94.3/c = sin44.7/30 =====> c = 42.5 = x