SOLUTION: A 65 ft ladder is leaning against a wall. Its lower end is 25 ft away from the wall. How much farther away will it be if the upper end is moved down 8 feet?

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Question 1127118: A 65 ft ladder is leaning against a wall. Its lower end is 25 ft away from the wall. How much farther away will it be if the upper end is moved down 8 feet?
Found 2 solutions by josgarithmetic, Alan3354:
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
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A 65 ft ladder is leaning against a wall. Its lower end is 25 ft away from the wall.
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Current Position y, along wall:
y%5E2%2B25%5E2=65%5E2
y=sqrt%2865%5E2-25%5E2%29
y=60


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How much farther away will it be if the upper end is moved down 8 feet?
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That puts contact on the wall at 60-8=highlight_green%2852%29 feet high on the wall.

x, new position on the floor away from the wall:
x%5E2%2B52%5E2=65%5E2
Find x, and then find the difference from 25.
You do that.

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
That's a long ladder.