13-ft ladder is leaning against a house when its base starts to slide away. By the time the ase is 12 ft from the house, the base is moving at the rate of 5 ft/sec. a. How fast is the top of the ladder sliding down the wall then? b. At what rate is the area of the triangle formed by the ladder, wall, and ground changing then? c. At what rate is the angle 0 between the ladder and the ground changing 13-ft ladder then?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.7: More On Inequalities
Problem 44E
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13-ft ladder is leaning against a house when its base starts to slide away. By the time the
ase is 12 ft from the house, the base is moving at the rate of 5 ft/sec.
a. How fast is the top of the ladder
sliding down the wall then?
b. At what rate is the area of the triangle
formed by the ladder, wall, and
ground changing then?
c. At what rate is the angle 0 between
the ladder and the ground changing
13-ft ladder
then?
Transcribed Image Text:13-ft ladder is leaning against a house when its base starts to slide away. By the time the ase is 12 ft from the house, the base is moving at the rate of 5 ft/sec. a. How fast is the top of the ladder sliding down the wall then? b. At what rate is the area of the triangle formed by the ladder, wall, and ground changing then? c. At what rate is the angle 0 between the ladder and the ground changing 13-ft ladder then?
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