A dinghy is pulled toward a dock by a rope from the bow through a ring on the dock 9 ft above the bow. The rope is hauled in at the rate of 3 ft/sec How fast is the boat approaching the dock when 15 ft of rope are out? At what rate is the angle θ changing at this instant?
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 dinghy is pulled toward a dock by a rope from the bow through a ring on the dock
ft above the bow. The rope is hauled in at the rate of
ft/sec
How fast is the boat approaching the dock when
ft of rope are out?
At what rate is the angle
changing at this instant?
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