Question

find the indicated side of the right triangle.
x = ?
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Explanation:

Step1: Use the cosine function

In a right - triangle, \(\cos\theta=\frac{\text{adjacent}}{\text{hypotenuse}}\). Here, \(\theta = 60^{\circ}\), the adjacent side is \(3\), and the hypotenuse is \(x\). So, \(\cos60^{\circ}=\frac{3}{x}\).

Step2: Solve for \(x\)

Since \(\cos60^{\circ}=\frac{1}{2}\), we have \(\frac{1}{2}=\frac{3}{x}\). Cross - multiply gives \(x = 3\times2\).

Answer:

\(6\)