### Home > CCA2 > Chapter 2 > Lesson 2.1.4 > Problem2-62

2-62.

Solve for the indicated value. Leave your answer in exact form.

1. $x=$ _______

Use the Pythagorean Theorem.

$6^{2}+5^{2}=x^{2}\ \ \ \ \ \ \ \ \ \sqrt{61}=x$

1. $m∠C=$ _______

Use the Pythagorean Theorem to find the missing side. Is the triangle a special one?

This is a $30^\circ-60^\circ-90^\circ$ triangle. Therefore, $∠C$ is $30^\circ$.

1. $m∠B=$ ____

The inverse tangent function will be helpful here.

1. $a=$_______

Use the cosine ratio or special right triangles.