Question

find p.
write your answer in simplest radical form.
miles
submit
work it out

Explanation:

Step1: Identify trigonometric ratio

We use sine: $\sin(\theta)=\frac{\text{opposite}}{\text{hypotenuse}}$
$\sin(30^\circ)=\frac{\sqrt{6}}{p}$

Step2: Substitute $\sin(30^\circ)$ value

$\sin(30^\circ)=\frac{1}{2}$, so:
$\frac{1}{2}=\frac{\sqrt{6}}{p}$

Step3: Solve for $p$

Cross-multiply to isolate $p$:
$p=2\sqrt{6}$

Answer:

$2\sqrt{6}$ miles