Use $\triangle RAT$ below to complete the following problems.

1. Find the exact length of $\overline{R A}$ in terms of $n$.

   Hint (a):

   Use the Pythagorean Theorem.

2. Using the triangle, find the ratios for:

   1. $\sin R$

   2. $\cos R$

   3. $\tan R$

      Hint (b):

      SOH CAH TOA

3. Using your results from part (b), find and simplify $\frac { \operatorname { sin } R } { \operatorname { cos } R }$. What do you notice?

   Answer (c):

   ${\text{It is the same as }\tan(R) = \frac{1}{\sqrt{3}} = \frac{\sqrt{3}}{3}.}$