Question 972523
This is in the third quadrant, where both the sin and cos are negative, and their quotient, the tangent, is positive.  

The tangent is 7/24.  This is a 7/24/25 right triangle, so the hypotenuse is 25.  The opposite side is 7, since that is from the tangent.

Sin theta = -7/25  theta=196.2 degrees.