An angler hooks a trout and reels in his line at 3 in./s. Assume the tip of the fishing rod is 13 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 15 ft from the angler. 13 ft

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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An angler hooks a trout and reels in his line at 3 in./s. Assume the tip of the
fishing rod is 13 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 15 ft from the angler.
13 ft
Decreasing
at 3 in./s
Let x be the horizontal distance from the angler to the fish and z be the length of the fishing line, where both x and z
are measured in inches. Write an equation relating x and z.
Transcribed Image Text:An angler hooks a trout and reels in his line at 3 in./s. Assume the tip of the fishing rod is 13 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 15 ft from the angler. 13 ft Decreasing at 3 in./s Let x be the horizontal distance from the angler to the fish and z be the length of the fishing line, where both x and z are measured in inches. Write an equation relating x and z.
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