SOLUTION: for right triangle abc, side b is 5 miles and <A=24 degrees. Find the length of side a. Round to the nearest hundreth.

Algebra ->  Triangles -> SOLUTION: for right triangle abc, side b is 5 miles and <A=24 degrees. Find the length of side a. Round to the nearest hundreth.      Log On


   

Question 887951: for right triangle abc, side b is 5 miles and
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Use the law of sines,
sin%28A%29%2Fa=sin%28B%29%2Fb
asin%28B%29=bsin%28A%29
a=b%2A%28sin%28A%29%2Fsin%28B%29%29
a=5%2A%28sin%2824%29%2Fsin%2890-24%29%29
a=5%2A%28sin%2824%29%2Fsin%2866%29%29
a=5%2A0.4452
a=2.27miles