Find the indicated angle or side Give an exact answer Find t

Find the indicated angle or side. Give an exact answer. Find the exact length of side a.

Solution

b =2,c =53 ,A=30^o

by law of cosines a²=b²+c² -2bccosA

a²=4+75 -2(2*53)cos30⁰

a²=4+75 -2(2*53)(3_/2)

a²=79 -30

a=49

a=7