Question

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

Answer 1

x = 5.5

Explanation:

Using a trig ratio, you can use sin, which is opposite over hypotenuse.
`sin(30)\textdegree=(x)/(11)`

Now, multiply both sides by 11

`11\cdot sin(30)\textdegree=x`

this simplifies to x =
`(11)/(2)` or 5.5.

Since sin30 is
`(\pi)/(6)` radians, it can be written as
`(11\pi)/(6)`.