The area of a triangle is 216.58 square meters. One side is 48.7 meters long and makes an angle of 63 degrees and 40 minutes with another side. How long is that side of the triangle?

Solution:

The area of the triangle = 0.5 *a*b*sin(theta), a and b are two sides which make the angle of theta.

So we assume that side of triangle is X

0.5*48.7*X*sin(63.67 degree) = 216.58

X = 9.92

So that side of triangle is 9.92 meters