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

Question

A= 117 degrees 

B= 45 degrees 

c= 14

 

Answer 1

Yes! Lets solve this shall we ?

So, we must use the Law of Sines to find the other values angle C, side a and side b. Then,

sin117 / a = sin45 / b = sin18 / 14 ..........Because C = 180 - (117 + 45) = 18. We can now solve for side b first such that

sin45 / b = sin18 / 14..............Cross multiply such that

bsin18 = 14sin45............Now divide sin18 such that

b = (14sin45 / sin18)

b = 32.04

Then, we solve for a such that

sin117 / a = sin45 / 32..............Cross multiply such that

asin45 = 32sin117.............Then divide sin45 such that

a = (32sin117 / sin45)

a = 40.32

I hope this helped!