# algebra

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a 17-foot ladder leans against a wall. if the ladder is 8 feet from the base of the wall, how far is it from the bottom of the wall to the top of the ladder

• algebra - ,

15ft

imagine a triangle. The diagonal side is 17 ft. the bottom is 8 ft. Use the pythagorean theorem to find the third side. so

17^2 minus 8^2 = 225. then take the square root of 225, which is 15

• algebra - ,

Let c = the length of the ladder. b = the distance from the wall. Use the Pythagorean theorem.

a^2 + b^2 = c^2

a^2 + 8^2 = 17^2
a^2 + 64 = 289
a^2 = 225
a = 15

• algebra - ,

my way worked too

• algebra - ,

Yep. It's always good to show students more than one way to solve a problem.

• algebra - ,

*I posted mine.

• algebra - ,

oh ok :)

• algebra - ,

A ladder with length 20m. stands vertically against a wall. How much further should the lower end of the end of the ladder be moved so that its upper end descends 4 metre?

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My 20 foot ladder was about 8 feet from the wall and by the time my face busted on the rock below I didn't do any measuring.
I drove to the hospital and got many stitches.