Question

for y. do not convert your answer to decimal form. rationalize simplify your answer if necessary.
draw

Explanation:

Step1: Use cosine function

In a right - triangle, \(\cos\theta=\frac{\text{adjacent}}{\text{hypotenuse}}\). Here, \(\theta = 60^{\circ}\), the adjacent side to the \(60^{\circ}\) angle is \(8\), and the hypotenuse is \(y\). So, \(\cos60^{\circ}=\frac{8}{y}\).

Step2: Substitute the value of \(\cos60^{\circ}\)

Since \(\cos60^{\circ}=\frac{1}{2}\), we have \(\frac{1}{2}=\frac{8}{y}\).

Step3: Solve for \(y\)

Cross - multiply: \(y\times1 = 8\times2\).

Answer:

\(y = 16\)