Answer:
B. 44.93
Step-by-step explanation:
The law of sines states
[tex]\frac{a}{sinA} = \frac{b}{sinB} = \frac{c}{sinC}[/tex]
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
