SOLUTION: If the sides of a right triangle are a=5 and b=8, the angle B is? a.) 59 degrees, 2', 10" b.) 57 degrees, 59', 41" c.) 32 degrees, 0', 19" d.) 30 degrees, 57', 50"

Algebra ->  Triangles -> SOLUTION: If the sides of a right triangle are a=5 and b=8, the angle B is? a.) 59 degrees, 2', 10" b.) 57 degrees, 59', 41" c.) 32 degrees, 0', 19" d.) 30 degrees, 57', 50"      Log On


   

Question 967096: If the sides of a right triangle are a=5 and b=8, the angle B is?
a.) 59 degrees, 2', 10"
b.) 57 degrees, 59', 41"
c.) 32 degrees, 0', 19"
d.) 30 degrees, 57', 50"
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
a%5E2%2Bb%5E2=c%5E2
25%2B64=c%5E2
c=sqrt%2889%29
Using the law of sines,
sin%2890%29%2Fsqrt%2889%29=sin%28B%29%2F8
sin%28B%29=8%2Fsqrt%2889%29
sin%28B%29=0.8480
B=57.99462
.99442%2A60=59.688
0.688%2A60=41.28
57d59'41"