Question 1097244
Let {{{ h }}} = the original height from
bottom of wall to where ladder
touches wall
{{{ h^2 = 25^2 - 7^2 }}}
{{{ h^2 = 625 - 49 }}}
{{{ h^2 = 576 }}}
{{{ h = 24 }}}
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The top of ladder slips down {{{ 4 }}} ft, so
{{{ h = 24 - 4 = 20 }}}
Let {{{ d }}} = new distance from wall to where
ladder touches ground
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{{{ d^2 = 25^2 - 20^2 }}}
{{{ d^2 = 625 - 400 }}}
{{{ d^2 = 225 }}}
{{{ d = 15 }}}
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{{{ 15 - 7 = 8 }}}
The bottom of the ladder slides out 8 ft