Ratios
A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.
Trigonometric Ratios
Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.
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.)
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