Question

Find c.

Round to the nearest tenth:
8 cm
82
55°
b
c = [? ]cm
Law of Sines:
sin A
sin C
sin B
b
Please help asap

Answer 1

9.7cm

Explanation

According to the sine rule;

a/sinA = c/sinC

8/sin55 = c/sin82

Cross multiply

csin55 = 8sin82

c(0.8192) = 8(0.9903)

c = 8(0.9903)/0.8192

c = 7.9221/0.8192

c = 9.67

Hence the value of c to the nearest tenth is 9.7cm