Question

Find the length of side x in simplest radical form with a rational denominator.

Answer 1

x = 4

Explanation:

Using the sine or cosine ratio.

Using the sine ratio in the right triangle and the exact value

sin30° =
`(1)/(2)` , then

sin30° =
`(opposite)/(hypotenuse)` =
`(2)/(x)` =
`(1)/(2)` ( cross- multiply )

x = 4