SOLUTION: Solve the right triangle with alpha=26degrees with 49​' minutes a=equals9.52.

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Question 1127531: Solve the right triangle with alpha=26degrees with 49​' minutes a=equals9.52.
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

alpha=26°49'=26.82°
a=9.52
sin%28alpha%29=a%2Fc
sin%2826.82%29=9.52%2Fc
c=9.52%2Fsin%2826.82%29
c=21.0998
c=21.1
then
c%5E2=a%5E2%2Bb%5E2
b%5E2=c%5E2-a%5E2
b%5E2=21.1%5E2-9.52%5E2
b%5E2=445.21-90.6304
b%5E2=354.5796
b=sqrt%28354.5796%29
b=18.83028
b=18.83


since alpha%2Bbeta=90°, angle beta=90-26.82° ->beta=63.18°