Question

use a trigonometric ratio to solve for c. round to two decimal places as necessary.
draw
22
59°
c

Explanation:

Step1: Identify trigonometric ratio

For the $59^\circ$ angle, $c$ is the opposite side, and 22 is the hypotenuse. Use sine: $\sin(\theta)=\frac{\text{opposite}}{\text{hypotenuse}}$
$\sin(59^\circ)=\frac{c}{22}$

Step2: Solve for $c$

Rearrange to isolate $c$: $c=22\times\sin(59^\circ)$
Calculate $\sin(59^\circ)\approx0.8572$, so $c\approx22\times0.8572$

Step3: Compute final value

$c\approx18.8584$
Round to two decimal places.

Answer:

$18.86$