CPM Homework Help : INT2 Problem 4-72

For each triangle below, write an equation relating the reference angle (the given acute angle) with the two side lengths of the right triangle. Then solve your equation for $x$ .

Hint (all):

Recall:
$\array{\sin\theta=\frac{\text{opp}.}{\text{hyp}.}\\ \cos\theta=\frac{\text{adj}.}{\text{hyp}.}\\ \tan\theta=\frac{\text{opp}.}{\text{adj}.}}$

Partial answer (c):
$\cos\left(60^{\circ}\right)=\frac{x}{6}$

For part (c), use the complement of the reference angle to write a different equation. Solve for $x$ to confirm your answer for part (c).