Question

HELP QUICK PLEASE

Calculate the side lengths a and b to two decimal places
A. a= 10.92 b=14.52 <--- My answer
B. a= 11 b= 15
C. a=4.18 b=3.15
D. a= 11.40 b=13.38

Answer 1

Angle (C) = 25 degrees
Using the Law of Sines
b / sin(B) = c / sin(C)
b = sin(B) * c / sin(C)
b = sin(110) * 7 / sin(25)
b = 0.93969 * 7 / 0.42262
b = 15.5644077422

a / sin(A) = b / sin(B)
a = sin(45) * b / sin(110)
a = .70711 * 15.564 / .93969
a = 11.712
It seems the answer is B