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, [tex]\displaystyle{\sin27^{\circ}= \frac{34}{x} [/tex]
[tex]\sin27^{\circ}[/tex] 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
Answer: 74.89
