anonymous
  • anonymous
A handy man knows from experience that his 29-foot ladder rests in its most stable position when the distance of its base from a wall is 1 foot farther than the height it reaches up the wall. 1) how far up a wall does this ladder reach? 2) how far should the base be from the wall? 3) If the man needs to reach a window 25feet high on the wall, how far from the wall should he place the base of the ladder?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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phi
  • phi
Did you draw a figure, and label what you know ?
phi
  • phi
can you draw a figure ?
phi
  • phi
How about this 29-foot ladder |dw:1443126395170:dw|

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More answers

anonymous
  • anonymous
I know how to make the drawing the problem is i do not know how to solve the problem
phi
  • phi
Using this info: the distance of its base from a wall is 1 foot farther than the height it reaches up the wall. and if we call the (unknown) height x, what is the distance along the ground ? (i.e. the bottom of the triangle) ?
anonymous
  • anonymous
x+1
anonymous
  • anonymous
i need help with part 2 and 3 of the question im not sure how to solve the problem and come up with the answer
phi
  • phi
yes, that is good. |dw:1443126847208:dw|
phi
  • phi
You have a right triangle. Do you know pythagoras formula?
anonymous
  • anonymous
yes
phi
  • phi
can you write down the formula, but using the sizes in the drawing ? i.e. legs are x and (x+1) and the hypotenuse is 29
anonymous
  • anonymous
I HAVE ALREADY COMPLETED that. I need help with part 2 and 3 of the question.
phi
  • phi
what did you get ?
anonymous
  • anonymous
the height of the wall is 20ft
phi
  • phi
yes, so that means in the picture x=20 the base of the triangle is x+1 so you can figure out answer to 2)
phi
  • phi
For 3) If the man needs to reach a window 25feet high on the wall, how far from the wall should he place the base of the ladder? label a new figure |dw:1443127849854:dw|
phi
  • phi
I would write down pythagoras using those values \[ x^2 +25^2 = 29^2 \] can you solve for x ?
anonymous
  • anonymous
is x 14?
phi
  • phi
it's not exact. you need a calculator. or type into google sqrt(29^2 -25^2)= you get 14.6969... Do they ask you to round the answer ?
anonymous
  • anonymous
yes thank you
phi
  • phi
it rounds to 15 if you round to the nearest foot.

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