Question

a.
b.
$x$
$17^{circ}$
$3$

Explanation:

Step1: Recall the cosine formula

In a right - triangle, \(\cos\theta=\frac{\text{adjacent}}{\text{hypotenuse}}\). Here, \(\theta = 17^{\circ}\), the adjacent side \(a = 3\), and the hypotenuse \(x\). So, \(\cos(17^{\circ})=\frac{3}{x}\).

Step2: Solve for \(x\)

We can rewrite the equation as \(x=\frac{3}{\cos(17^{\circ})}\). Using a calculator, \(\cos(17^{\circ})\approx0.9563\). Then \(x=\frac{3}{0.9563}\approx3.14\).

Answer:

\(x\approx3.14\)