Question

this is the only question in this section. question solve for w. answer - attempt 1 out of 3 w =

Explanation:

Step1: Use cosine function

In a right - triangle, $\cos\theta=\frac{\text{adjacent}}{\text{hypotenuse}}$. Here, $\theta = 30^{\circ}$ and the hypotenuse is 12, and the adjacent side to the $30^{\circ}$ angle is $w$. So, $\cos30^{\circ}=\frac{w}{12}$.

Step2: Substitute the value of $\cos30^{\circ}$

We know that $\cos30^{\circ}=\frac{\sqrt{3}}{2}$. So, $\frac{\sqrt{3}}{2}=\frac{w}{12}$.

Step3: Solve for $w$

Cross - multiply to get $w = 12\times\cos30^{\circ}=12\times\frac{\sqrt{3}}{2}=6\sqrt{3}$.

Answer:

$6\sqrt{3}$