SOLUTION: Determine the measure of side a given the following informaiton for triangle ABC: C=25degrees, B=108degrees, c=59ft

Question 87186: Determine the measure of side a given the following informaiton for triangle ABC: C=25degrees, B=108degrees, c=59ft
Answer by Edwin McCravy(20060) (Show Source): You can put this solution on YOUR website!


Determine the measure of side a given the 
following informaiton for triangle ABC: 
C = 25degrees, B = 108degrees, c = 59ft


First we find angle A using

A + B + C = 180�

A + 108� + 25� = 180�

A + 133� = 180�

A = 47�



Now we use the law of sines:

 =  = 

We only need

 = 

Solve for c:

Cross multiply:

 = 

Divide both sides by 

 =  

     59*sin(47�)
a = -------------
       sin(25�)

a = 102.1012869 ft.

Since the angles are measured to the 
nearest degree, and the side c measured to
2 significant digits, then side a
should be rounded to either 102 ft. or 100 ft. 

Edwin

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