Question

1. find the value of x.

type a response

Explanation:

Step1: Identify the trigonometric ratio

In a right - triangle, \(\cos\theta=\frac{\text{adjacent}}{\text{hypotenuse}}\). Here, \(\theta = 25^{\circ}\), the adjacent side to \(\theta\) is \(BC = 18.1\), and the hypotenuse is \(AC=x\). So, \(\cos25^{\circ}=\frac{18.1}{x}\).

Step2: Solve for \(x\)

We can rewrite the equation as \(x=\frac{18.1}{\cos25^{\circ}}\). Since \(\cos25^{\circ}\approx0.9063\), then \(x=\frac{18.1}{0.9063}\approx20\).

Answer:

\(20\)