(16) A ladder 13 ft long rests against a vertical wall. If the bottom of the ladder slides away from the wall at a rate of 1/2 ft/s, (a) how fast is the top of the ladder sliding down the wall when the bottom of the ladder is 5 ft from the wall? (b) How fast is the angle between the ladder and the ground when the bottom of the ladder is 5 ft from the wall?

Elementary Geometry for College Students
6th Edition
ISBN:9781285195698
Author:Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:Daniel C. Alexander, Geralyn M. Koeberlein
Chapter8: Areas Of Polygons And Circles
Section8.4: Cicumference And Area Of A Cicle
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(16) A ladder 13 ft long rests against a vertical wall. If the bottom of the ladder slides away from the wall
at a rate of 1/2 ft/s,
(a) how fast is the top of the ladder sliding down the wall when the bottom of the ladder is 5 ft
from the wall?
(b) How fast is the angle between the ladder and the ground when the bottom of the ladder is 5
ft from the wall?
Transcribed Image Text:(16) A ladder 13 ft long rests against a vertical wall. If the bottom of the ladder slides away from the wall at a rate of 1/2 ft/s, (a) how fast is the top of the ladder sliding down the wall when the bottom of the ladder is 5 ft from the wall? (b) How fast is the angle between the ladder and the ground when the bottom of the ladder is 5 ft from the wall?
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