Television camera is positioned ft from the rocket launching pad.

Consider the vertical of the rocket at any moment ft .

Consider the distance from the rocket to the camera at any moment is ft.

Rocket rises vertically at a speed of ft/sec.

Draw the figure  for the situation.

Apply Pythagorean theorem.

.

Differentiate on each side with respect to .

.

Find the rate at which distance from the rocket to the camera is changing when .

Substitute , and in .

Rate at which distance from the rocket to the camera is changing when is ft/s.

Consider  .

Differentiate on each side with respect to .

We have, .

When .

Substitute and in .

Camera angle changing at this moment at  rad/s.

(a) Rate at which distance from the rocket to the camera is changing when is ft/s.

(b) Camera angle changing at this moment at  rad/s.