A ladder 25 ft long rests against a vertical wall. If the bottom of the ladder is sliding away at a rate of 3.5 ft/s, how fast is the top of the ladder sliding down the wall when the top of the ladder is 7 ft from the bottom of the wall? To answer this question, answer the following: 1. Let y be the length of the top of the ladder from the bottom of the wall. What do we know about the sign of dy ? (Write POS if it is positive and NEG if it is negative.) dt 2. Let x be the length of the bottom of the ladder from the wall. What is the value of x when the top of the ladder is 7 ft from the bottom of the wall? ft 3. How fast is the top of the ladder sliding down the wall when the top of the ladder is 7 ft from the bottom of the wall? ft/s (Write your answer as a decimal with two decimal places if necessary.)
A ladder 25 ft long rests against a vertical wall. If the bottom of the ladder is sliding away at a rate of 3.5 ft/s, how fast is the top of the ladder sliding down the wall when the top of the ladder is 7 ft from the bottom of the wall? To answer this question, answer the following: 1. Let y be the length of the top of the ladder from the bottom of the wall. What do we know about the sign of dy ? (Write POS if it is positive and NEG if it is negative.) dt 2. Let x be the length of the bottom of the ladder from the wall. What is the value of x when the top of the ladder is 7 ft from the bottom of the wall? ft 3. How fast is the top of the ladder sliding down the wall when the top of the ladder is 7 ft from the bottom of the wall? ft/s (Write your answer as a decimal with two decimal places if necessary.)
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
Section8.5: More Area Relationships In The Circle
Problem 42E: A goat is tethered to a barn by a 12-ft chain. If the chain is connected to the barn at a point 6 ft...
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Transcribed Image Text:A ladder 25 ft long rests against a vertical wall. If the bottom of the ladder is sliding away at a rate of 3.5 ft/s,
how fast is the top of the ladder sliding down the wall when the top of the ladder is 7 ft from the bottom of
the wall? To answer this question, answer the following:
1. Let y be the length of the top of the ladder from the bottom of the wall. What do we know about the sign of
dy
-?
dt
(Write POS if it is positive and NEG if it is negative.)
2. Let x be the length of the bottom of the ladder from the wall. What is the value of x when the top of the
ladder is 7 ft from the bottom of the wall?
ft
3. How fast is the top of the ladder sliding down the wall when the top of the ladder is 7 ft from the bottom of
the wall?
ft/s (Write your answer as a decimal with two decimal places if necessary.)
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