On a sunny day, a 50 ft flagpole casts a shadow that changes with the angle of elevation of the Sun Let s be the length of the shadow and than angle of elevation of the Sun. Find the rate at which the length of the shadow is changing with respect to when 0=45°. Express your answer in units of feet/degree.

Q: car is traveling 50 miles per hour. What is this rate of speed in feet per minute

A: 1 mile   = 5280 feet50 mile = 50 × 5280 feet              = 264000 feet1 hour = 60 minute

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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.