Solve the triangle, if possible, given measure A = 148°, Measure b = 200yd, and measure c = 185yd.

Question

Round to 2 decimal places and show a representation/model.

Answer 1

We can use the law of cosines to start.

a² = b²+c²-2bccos(A)

a²= 40000+34225 - 2(200)(185)cos(148°)

a² = 74225 - 74000(-0.848) = 136980.56

a = 370.11

Use the law of sines to get one of the other angles.

sin(148°)/370.11 = sin(B)/200

sin(B) = 200sin(148°)/370.11 =0.28

B = 16.64°

C = 180 - 148 -16.64 = 15.36°