Question

Use the Law of Sines to solve the triangle. Round your answer to two decimal places.

A = 102.4^o,   C = 16.7^o,   a = 21.6

Answer 1

Step 1:

The two angles of the triangle are and one side is .

Since total of the three angles in a triangle is .

The third angle of the triangle .

Step 2:

Recall the law of sines:If  is a triangle with sides and , then

Consider

 

Substitute , , and in above expression.

step 3:

Consider

 

Substitute corresponding values in above expression.

Solution:

, and