Question

1. x 14 51° 18.0

Explanation:

Step1: Use Pythagorean theorem

$$a^{2}+b^{2}=c^{2}$$
Here, \(a = 14\), \(b=18\), and \(c=x\)

Step2: Substitute values

$$x^{2}=14^{2}+18^{2}$$
$$x^{2}=196 + 324$$
$$x^{2}=520$$

Step3: Solve for \(x\)

$$x=\sqrt{520}\approx22.8$$

Answer:

\(x\approx22.8\)