Krishna
0

Step 1: Understand the question properly

              NOTE:   \sin 30\degree = \cos \theta = \frac{1}{2}


Step 2: Determine the unknown value.

            THEOREM: If sin A = cos B, \angle A \text{ and } \angle B  are the acute angles of

                               a  right triangle, 

                    So,   30 \degree + \theta = 90\degree

                             \theta = 90\degree - 30\degree

                            \theta=60\degree