Given C=124°,B=40°,and c=15., use the Law and Sines to solve the triangle for the value of a. Round answer to two decimal places.

Question

Given C=124°,B=40°,and c=15., use the Law and Sines to solve the triangle for the value of a. Round answer to two decimal places.

Answer 1

Law of Sines:  sin(A)/a = sin(B)/b = sin(C)/c

 

sin(C)/c = sin(124^o)/15 = 0.055

 

sin(B)/b = sin(40^o)/b = 0.055

So b = sin(40^o)/(0.055) = 11.69

 

sin(A)/a = sin(180^o-124^o-40^o)/a = 0.055

So a = sin(16^o)/(0.055) = 5.01

 

A = 16^o      a = 5.01

B = 40^o      b = 11.69

C = 124^o    c = 15