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anonymous

  • 5 years ago

A rope 32 m long is attached to the top of a flagpole. The rope reaches a place on the ground 12 m from the base of the pole. How many meters high is the flagpole? If necessary, round your answer to the nearest tenth. A) 34.2 B) 54.0 C) 20.0 D) 29.7

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  1. anonymous
    • 5 years ago
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    Hello. Can you draw a simple picture of the problem?

  2. anonymous
    • 5 years ago
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    how?

  3. anonymous
    • 5 years ago
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    Just so you can visualize it, draw a picture of a flagpole on flat ground.

  4. anonymous
    • 5 years ago
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    o ok yes I thought you wanted it on here

  5. anonymous
    • 5 years ago
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    Haha, sorry. I just meant on some scratch paper somewhere.

  6. anonymous
    • 5 years ago
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    So after you have a flagpole, draw the 32m long rope (and label it 32m) from the top of the flagpole to the ground. The rope should reach 12 meters away from the bottom of the flagpole.

  7. anonymous
    • 5 years ago
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    20m

  8. anonymous
    • 5 years ago
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    "The rope reaches a place on the ground 12 m from the base of the pole" 12 meters is what I understood.

  9. anonymous
    • 5 years ago
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    Regardless. So now you have a picture of a flagpole with rope going diagonally to the ground.

  10. anonymous
    • 5 years ago
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    This picture looks an awful lot like a triangle, can we agree?

  11. anonymous
    • 5 years ago
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    yes

  12. anonymous
    • 5 years ago
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    Great, do you know the parts of your triangles? Right now the rope is the hypotenuse and you should have it labeled 32 meters. From the flagpole to the point where the rope reaches the ground is 12 meters, and you should have it labeled accordingly.

  13. anonymous
    • 5 years ago
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    The flagpole coming out of the ground makes a 90 degree angle, that is, the flagpole is perpendicular to the ground. This triangle is a right triangle.

  14. anonymous
    • 5 years ago
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    kind of

  15. anonymous
    • 5 years ago
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    Are we unclear about something?

  16. anonymous
    • 5 years ago
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    no

  17. anonymous
    • 5 years ago
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    Oh ok. So we do have a right triangle with the longest side, the hypotenuse being 32 meters. The base of the triangle is 12 meters, from the bottom of the flagpole to the rope.

  18. anonymous
    • 5 years ago
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    Do you know about the Pythagorean Theorem?

  19. anonymous
    • 5 years ago
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    ok yea I get that and not really sorry

  20. anonymous
    • 5 years ago
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    It's fine. The Pythagorean Theorum says that: Triangle: Base ^2 + Height ^2 = Hypotenuse ^2

  21. anonymous
    • 5 years ago
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    ok so 32^2 + 12^2 is the answer?

  22. anonymous
    • 5 years ago
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    Not quite. So here we have the hypotenuse = 32m and we have the base = 12m. So if we just plug that into our equation: 12^2 + Height^2 (We are missing this variable) = 32^2

  23. anonymous
    • 5 years ago
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    So if we evaluate: 144 + H^2 = 1024

  24. anonymous
    • 5 years ago
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    Can you isolate and solve for H from here? H=Height of the flagpole.

  25. anonymous
    • 5 years ago
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    I am sry I will just get help from my teacher I am just not getting it :(

  26. anonymous
    • 5 years ago
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    Oh, it's alright.

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