A ladder 14 ft long rests against a vertical wall. Let 0 be the angle between the top of the ladder and the walland let x be the distance from the bottom of the ladder to the wall. If the bottom of the ladder slides awayfrom the wall, how fast does x change with respect to 0 when 0 /3?

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Asked Sep 26, 2019
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A ladder 14 ft long rests against a vertical wall. Let 0 be the angle between the top of the ladder and the wall
and let x be the distance from the bottom of the ladder to the wall. If the bottom of the ladder slides away
from the wall, how fast does x change with respect to 0 when 0 /3?
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A ladder 14 ft long rests against a vertical wall. Let 0 be the angle between the top of the ladder and the wall and let x be the distance from the bottom of the ladder to the wall. If the bottom of the ladder slides away from the wall, how fast does x change with respect to 0 when 0 /3?

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Expert Answer

Step 1

Given:

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The length of the ladder is 14 ft, which rests against the vertical wall The angle between the top of the ladder and the wall is The distance from the bottom of the ladder to the wall is x

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Step 2

Derivative rule:

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Constant Multiple Rule If c is constant and f(0).is differentiable function, then d d (1) de de

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Step 3

The given situation is as shown...

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Wall 14 Ladder X Figure

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