8. A 13-ft ladder is leaning against a house when its base starts to slide away (see accompanying figure). By the time the base is 12 ft from the house, the base is moving at the rate of 5 ft/sec. At what rate is the angle 0 between the ladder and the ground changing then? y(t) 13-ft ladder x(1)

Trigonometry (MindTap Course List)
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ISBN:9781337278461
Author:Ron Larson
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Chapter6: Topics In Analytic Geometry
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8. A 13-ft ladder is leaning against a house when its base starts to slide away (see accompanying figure). By the
time the base is 12 ft from the house, the base is moving at the rate of 5 ft/sec. At what rate is the
angle 0 between the ladder and the ground changing then?
y(t)
13-ft ladder
0.
x(1)
Transcribed Image Text:8. A 13-ft ladder is leaning against a house when its base starts to slide away (see accompanying figure). By the time the base is 12 ft from the house, the base is moving at the rate of 5 ft/sec. At what rate is the angle 0 between the ladder and the ground changing then? y(t) 13-ft ladder 0. x(1)
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