Trigonometry Question

Question

In  Triangle(ABC) , m/ A = 36º 42' 15",   m/ B = 28º 50' 35", a = 105 ft, and b = 85 ft.  Find the length of side c.

c = Answer (round to the nearest tenth)

Answer 1

LAWS of SINES is applicable here; Use the two given angles A & B to find the third angle C

Each angle (by letter designation) faces the side of the corresponding letter.

180 deg - [(36 deg 42 min 15 sec) + (28deg 50min 35sec)] = 114deg 27min 30sec

With the LAWS of SINES, the ratio of a/Sin A = b/Sin B = c/Sin C

Use either ratio of either a/Sin A OR b/Sin B to find the length of c, since you can now compute the Sin C with angle C calculated above.

Make sure your calculation is set to the correct MODE - degree.

Hope this helps!