A Sliding Ladder A 25 ft ladder leaning against a wall begins to slide. How fast is the top of the ladder sliding down the wall at the instant of time when the bottom of the ladder is 15 ft from the dy dx wall and sliding away from the wall at the rate of 4 ft/sec? Hint: Refer to the accompanying figure. By the Pythagorean Theorem, x2 + y2 = 625. Find when x 15 and = 4. (Round your dt answer to two decimal places.) dt 25-ft ladder 1 4 ft/sec ft/sec Wall

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter63: Volumes Of Pyramids And Cones
Section: Chapter Questions
Problem 12A
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A Sliding Ladder A 25 ft ladder leaning against a wall begins to slide. How fast is the top of the ladder sliding down the wall at the instant of time when the bottom of the ladder is 15 ft from the
dy
dx
wall and sliding away from the wall at the rate of 4 ft/sec? Hint: Refer to the accompanying figure. By the Pythagorean Theorem, x² + y² = 625. Find when x = 15 and = 4. (Round your
answer to two decimal places.)
dt
dt
25-ft ladder
4 ft/sec
ft/sec
X
100
Wall
Transcribed Image Text:A Sliding Ladder A 25 ft ladder leaning against a wall begins to slide. How fast is the top of the ladder sliding down the wall at the instant of time when the bottom of the ladder is 15 ft from the dy dx wall and sliding away from the wall at the rate of 4 ft/sec? Hint: Refer to the accompanying figure. By the Pythagorean Theorem, x² + y² = 625. Find when x = 15 and = 4. (Round your answer to two decimal places.) dt dt 25-ft ladder 4 ft/sec ft/sec X 100 Wall
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