Question

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

Answer 1

Answer:

x = 5.5

Step-by-step explanation:

Using a trig ratio, you can use sin, which is opposite over hypotenuse. $sin(30)\textdegree=\frac{x}{11}$

Now, multiply both sides by 11

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

this simplifies to x = $\frac{11}{2}$ or 5.5.

Since sin30 is $\frac{\pi}{6}$ radians, it can be written as $\frac{11\pi}{6}$.