In jkl. solve for x 66.73 74.89 15.44 38.16

By right triangle trigonometry, the sine of the measure of an angle is the ratio of the opposite side of this angle to the hypotenuse.

Thus, 

is a constant which can be found using a calculator:

with calc in pc: view → scientific → 27→sin = 0.45399, 

thus x=34/0.45399=74.89

74.89

The first option would be correct if it were one half and not one