Question

PLEASE HELP MEE.

measure of angle B = 27 degrees, measure of angle C = 82 degrees, b = 14. Find the length of c to the nearest
tenth.

Answer 1

Answer: 30.5

=======================================================

Work Shown:

`(\sin(B))/(b)=(\sin(C))/(c)\\\\(\sin(27))/(14)=(\sin(82))/(c)\\\\c\sin(27) = 14\sin(82)\\\\c=(14\sin(82))/(\sin(27))\\\\c\approx 30.5375398\\\\c\approx \boldsymbol{30.5}\\\\`

I used the law of sines. Make sure your calculator is in degree mode.

The confirmation diagram shown below was made with GeoGebra. It is a free geometry and algebra app that I use all the time.