Question

Use the law of sines to find the length of side c

Answer 1

B. 44.93

Explanation:

The law of sines states

`(a)/(sinA) = (b)/(sinB) = (c)/(sinC)`

where a, b and c are the 3 sides of the triangle and A is the angle opposite side a, B the angle opposite side b and C the angle opposite side c

In this particular problem we have

side a = 44, angle A = 46.7
side c = ? , angle C = 48

So 44/sin(46.7) = c/sin(48) or by multiplying both sides by sin(48)

c = sin(48) * 44/sin(46.7) = 44.92937 which is 44.93 rounded to 2 decimal places