Question

In JKL. solve for x 66.73 74.89 15.44 38.16

Answer 1

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, $\displaystyle{\sin27^{\circ}= \frac{34}{x}$


$\sin27^{\circ}$ 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