Use the law of sines to solve the triangle. Round answers to two decimal places

Question

A=23.3 degrees C=52.9 degrees 

c=2.24

Answer 1

Great! Lets solve this shall we ?

So, we must solve this problem using the Law of Sines! We can begin by solving for a first be setting the equation equal to,

sin23.3 / a = sin52.9 / 2.24................Cross multiply to obtain

asin52.9 = 2.24sin23.3.......................Then divide sin52.9 such that

a = (2.24sin23.3 / sin52.9)

a = 1.11

Note: that angle B is 180 - (52.9 + 23.3) such that B = 180 - 76.2 = 103.8. Now we can solve for side b such that

sin23.3 / 1.11 = sin103.8 / b...............Cross multiply again such that

bsin23.3 = 1.11sin103.8..............Then divide sin23.3 such that

b = (1.11sin103.8 / sin23.3)

b = 2.73

I hope this helped!