When satellites observe Earth, they can scan only part of Earth’s surface. Some satellites have sensors that can measure the angle shown in the figure. Let h represent the satellite’s distance from Earth’s surface, and let r represent Earth’s radius.

(a) Show that h = r(csc − 1).

(b) Find the rate at which h is changing with respect to when = 30°. (Assume r = 4000 miles.)

Transcribed Image Text:

h B