تم الحل ✓
categoryرياضيات
schoolبكالوريوس
event_available2026-07-13
السؤال
Transcribed Image Text:
An angler hooks a trout and reels in his line at 5 in. /s. Assume the
tip of the fishing rod is 12 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 18 ft
from the angler
12 ft
Decreasing
at 5 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
☐
Differentiate both sides of the equation with respect to t
dx
dt
dt
When the fish is 18 ft from the angler, its horizontal speed is about
(Round to two decimal places as needed.)
°
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