Question

find s.
write your answer in simplest radical form.
meters

Explanation:

Step1: Identify trigonometric ratio

We use cosine: $\cos\theta = \frac{\text{adjacent}}{\text{hypotenuse}}$
Here, $\theta=60^\circ$, adjacent side $=2\sqrt{3}$, hypotenuse $=s$.

Step2: Substitute values into formula

$\cos60^\circ = \frac{2\sqrt{3}}{s}$
We know $\cos60^\circ=\frac{1}{2}$, so:
$\frac{1}{2} = \frac{2\sqrt{3}}{s}$

Step3: Solve for s

Cross-multiply to isolate $s$:
$s = 2\times2\sqrt{3}$
$s=4\sqrt{3}$

Answer:

$4\sqrt{3}$ meters