Question

question 8 (multiple choice worth 1 points) (05.01r mc) find the value of x 5 60° x y 5√3 10 5√2 5

Explanation:

Step1: Recall the cosine formula

In a right - triangle, \(\cos\theta=\frac{\text{adjacent}}{\text{hypotenuse}}\). Here, \(\theta = 60^{\circ}\), the adjacent side is \(5\) and the hypotenuse is \(x\).
So, \(\cos60^{\circ}=\frac{5}{x}\).

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

Since \(\cos60^{\circ}=\frac{1}{2}\), we have \(\frac{1}{2}=\frac{5}{x}\).

Step3: Solve for \(x\)

Cross - multiply: \(x = 5\times2=10\).

Answer:

\(10\)