Question

question 8 multiple choice worth 1 point (05.01 mc) find the value of y.

Explanation:

Step1: Use tangent function

In a right - triangle, $\tan\theta=\frac{\text{opposite}}{\text{adjacent}}$. Here, $\theta = 60^{\circ}$, the adjacent side to the $60^{\circ}$ angle is 5 and the opposite side is $y$. So, $\tan60^{\circ}=\frac{y}{5}$.
Since $\tan60^{\circ}=\sqrt{3}$, we have the equation $\sqrt{3}=\frac{y}{5}$.

Step2: Solve for $y$

Multiply both sides of the equation $\sqrt{3}=\frac{y}{5}$ by 5. We get $y = 5\sqrt{3}$.

Answer:

$5\sqrt{3}$