Question

use a trigonometric ratio to solve for y. round to two decimal places as necessary. show your work here y =

Explanation:

Step1: Identify the trigonometric ratio

In a right - triangle, we know that $\cos\theta=\frac{\text{adjacent}}{\text{hypotenuse}}$. Here, $\theta = 60^{\circ}$, the adjacent side to the $60^{\circ}$ angle is 15, and the hypotenuse is $y$. So, $\cos60^{\circ}=\frac{15}{y}$.

Step2: Solve for $y$

Since $\cos60^{\circ}=\frac{1}{2}$, we have the equation $\frac{1}{2}=\frac{15}{y}$. Cross - multiply to get $y\times1 = 15\times2$.

Answer:

$y = 30.00$