Use the triangle at right to answer the following questions. 

1. What kind of a special triangle is this?

   Hint (a):

   What are the measures of the three angles?

2. What is the exact length of $PQ$?

   Hint (b):

   Set up a ratio with the $\sin 30º$.

3. What is the exact length of side $QR$?

   Answer (c):

   $6\sqrt{3}$

4. Write and simplify the sine ratio for $∠P$. Leave in simplified radical form.

   Hint (d):

   $\sin(P)=\frac{QR}{PR}$