13-A ladder A 13 foot ladder is leaning against a house when its base starts to slide away. By the time the base is 12 feet from the house, the base is moving at the rate of 5 feet per second.
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.
a. How fast is the top of the ladder sliding down the wall when the base of the ladder is 12 feet from the side of the house?
b. At what rate is the angle, (theta), between the ladder and the ground changing when the ladder is 12 feet from the side of the house?
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