On a sunny day, a 50ft flagpole cast the shadow that changes with the angle of elevation of the sun. Let S be the length of the shadow and \theta be the angle of elevation of the sun. a) Draw the picture to describe the situation. b) Find the rate of which the length of the shadow is changing with respect to \theta when \theta=45°. Express your answer in unit of feet/degree.
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.
On a sunny day, a 50ft flagpole cast the shadow that changes with the angle of elevation of the sun. Let S be the length of the shadow and \theta be the angle of elevation of the sun.
a) Draw the picture to describe the situation.
b) Find the rate of which the length of the shadow is changing with respect to \theta when \theta=45°. Express your answer in unit of feet/degree.
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