1. A 13-ft ladder is leaning against a house when its base is being pushed towards the wall. By the time the base is 12 feet from the house, the base is moving at a rate of 5 ft/sec. a. At what rate is the ladder sliding up the wall at this moment? At what rate is the angle between the ladder and the ground changing at this moment? b.

Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Charles P. McKeague, Mark D. Turner
Chapter3: Radian Measure
Section3.5: Velocities
Problem 61PS: A gear train consists of three gears meshed together (Figure 9). The middle gear is known as an...
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1.
A 13-ft ladder is leaning against a house
when its base is being pushed towards the
wall. By the time the base is 12 feet from the
house, the base is moving at a rate of 5
ft/sec.
a.
At what rate is the ladder sliding up
the wall at this moment?
b.
At what rate is the angle between
the ladder and the ground changing
at this moment?
Transcribed Image Text:1. A 13-ft ladder is leaning against a house when its base is being pushed towards the wall. By the time the base is 12 feet from the house, the base is moving at a rate of 5 ft/sec. a. At what rate is the ladder sliding up the wall at this moment? b. At what rate is the angle between the ladder and the ground changing at this moment?
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