SOLUTION: find the measure of angle c in triangle abc to the nearest degree if angle a is 38 degrees side a is 15 and side c is 6.

Algebra ->  Triangles -> SOLUTION: find the measure of angle c in triangle abc to the nearest degree if angle a is 38 degrees side a is 15 and side c is 6.      Log On


   

Question 423845: find the measure of angle c in triangle abc to the nearest degree if angle a is 38 degrees side a is 15 and side c is 6.
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

A%2F+sin+a+=+B%2Fsin+b+=+C%2Fsin+c

Using the above, find angle c:
angle a=38 degrees
sides:
A+=15
C+=6

A%2F+sin+a+=+c%2Fsin+c
15%2F+sin38+=+6%2Fsin+c
15%2Asin+c=+6%2Asin38
sin+c=+6%2Asin38%2F15

sin+c=+6%2A0.615661475%2F15
sin+c=+3.6939688519%2F15
sin+c=+3.6939688519%2F15

sin+c=+0.24626459
c=+arcsin%280.24626459%29
c=+14.26%29degrees