An angler hooks a trout and reels in his line at 4 in./s. Assume the tip of the fishing rod is 11 ft above the water and directly above the​ angler, and the fish is pulled horizontally directly toward the angler​ (see figure). Find the horizontal speed of the fish when it is 22 ft from the angler.

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A: topic - trigonometric ratios and application of derivatives

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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.