in triangle ABC, if the length of side b is 3 centimeters and the measures of angle B and angel C are 45⁰ and 60⁰, respectively, what is the length of side c to two decimal places

Use the law of sines to get this answer

b/sin(B) = c/sin(C)

c/sin(C) = b/sin(B)

c/sin(60) = 3/sin(45)

c = sin(60)*( 3/sin(45) )

c = 3.6742346 approximately

c = 3.67 rounding to nearest hundredth

Make sure your calculator is in degree mode.