Chapter 4.6, Problem 38PE

The distance $d\left(x\right)$ (in feet) between an observer $30$ ft from a straight highway and a police car traveling down the highway is given by $d\left(x\right)=30\sec x$ , where $x$ is the angle (in degrees) between the observer and the police car.

a. Use a calculator to evaluate $d\left(x\right)$ for the given values of $x$ . Round to the nearest foot.

b. Try experimenting with values of $x$ closer to ${90}^{\circ }$ . What happens as $x\to {90}^{\circ }$ ?