Question

Question was provided via image upload.

Explanation:

Step1: Identify trigonometric relation

We know that $\cos\theta=\frac{\text{adjacent}}{\text{hypotenuse}}$. Here $\theta = 25^{\circ}$, adjacent side is 16 and hypotenuse is $x$. So $\cos25^{\circ}=\frac{16}{x}$.

Step2: Solve for $x$

Cross - multiply to get $x=\frac{16}{\cos25^{\circ}}$. Since $\cos25^{\circ}\approx0.9063$, then $x=\frac{16}{0.9063}\approx17.65$.

Answer:

$x\approx17.65$