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anonymous

  • one year ago

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?

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  1. phi
    • one year ago
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    Did you draw a figure, and label what you know ?

  2. phi
    • one year ago
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    can you draw a figure ?

  3. phi
    • one year ago
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    How about this 29-foot ladder |dw:1443126395170:dw|

  4. anonymous
    • one year ago
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    I know how to make the drawing the problem is i do not know how to solve the problem

  5. phi
    • one year ago
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    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) ?

  6. anonymous
    • one year ago
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    x+1

  7. anonymous
    • one year ago
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    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

  8. phi
    • one year ago
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    yes, that is good. |dw:1443126847208:dw|

  9. phi
    • one year ago
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    You have a right triangle. Do you know pythagoras formula?

  10. anonymous
    • one year ago
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    yes

  11. phi
    • one year ago
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    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

  12. anonymous
    • one year ago
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    I HAVE ALREADY COMPLETED that. I need help with part 2 and 3 of the question.

  13. phi
    • one year ago
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    what did you get ?

  14. anonymous
    • one year ago
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    the height of the wall is 20ft

  15. phi
    • one year ago
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    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)

  16. phi
    • one year ago
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    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|

  17. phi
    • one year ago
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    I would write down pythagoras using those values \[ x^2 +25^2 = 29^2 \] can you solve for x ?

  18. anonymous
    • one year ago
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    is x 14?

  19. phi
    • one year ago
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    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 ?

  20. anonymous
    • one year ago
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    yes thank you

  21. phi
    • one year ago
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    it rounds to 15 if you round to the nearest foot.

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