A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • 4 years ago

A wire is stretched from the ground to the top of an antenna tower. The wire is 10 ft long. The height of the tower is 2ft greater than the distance d from the tower's base to the end of the wire. Find the distance d and height of the tower?

  • This Question is Closed
  1. saifoo.khan
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    |dw:1328486093894:dw|Using Pythagoras Theorm

  2. saifoo.khan
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    \[d^2 + (d+2)^2 = 10^2\]Now solve.

  3. saifoo.khan
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    \[d^2 + d^2 + 4d + 4 = 100\] \[2d^2 + 4d -96 = 0\] \[d^2 + 2d - 58=0\]

  4. anonymous
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    |dw:1328485945617:dw|Apply the pythagorean theorem:\[c^{2} = a^{2}+b^{2}\]\[10^{2} = x^{2}+(x+2)^{2}\]Then solve for x:\[100 = x^{2}+(x^{2}+4x+4)\]\[100 = 2x^{2}+4x+4\]\[0 = 2(x^{2}+2x-48)\]\[0 = x^{2}+2x+48\] \[0 = (x+8)(x-6)\]\[x = -8, 6\]-8 wouldn't work, so x is 6.

  5. saifoo.khan
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Now since x = 6. It means that base is 6. And the height was (d+2) So it means, 6 + 2 = 8

  6. anonymous
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    So the distance is 6 ft and the height is 8 ft?

  7. saifoo.khan
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    YES!

  8. anonymous
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    And you can check it by using the pythagorean theorem:\[6^2 + 8^2 = 10^2\]\[36+64 = 100\]\[100 = 100\]

  9. anonymous
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    thank you!!

  10. anonymous
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    oh and how do you add those pictures??

  11. saifoo.khan
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Use the "DRAW" tool.|dw:1328486987668:dw|

  12. anonymous
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    |dw:1328486943638:dw|

  13. anonymous
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    do you guys know how to do this one?

  14. saifoo.khan
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    |dw:1328487295843:dw|

  15. saifoo.khan
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    It must be a Parallelogram?|dw:1328487359034:dw|Like that?

  16. anonymous
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    yes

  17. saifoo.khan
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    |dw:1328487518009:dw|Which one is it from these two?

  18. anonymous
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    the first one!

  19. saifoo.khan
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Then it's a Trapizium.

  20. anonymous
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    so how do I solve it?

  21. saifoo.khan
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    So the formula for the are is, \[Area = \frac12 * h * (\text{sum of parallel sides})\]

  22. anonymous
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    ok...what else? helppp meee i'm so lost!

  23. saifoo.khan
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Lol. help = 911.

  24. anonymous
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    no but really!

  25. saifoo.khan
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Lol. Ok, so \[208 = \frac12 ( 4)(2x-12 + 2x)\]Im sure u can solve now? :D

  26. anonymous
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    wait so did you get 8x^2 -24?

  27. anonymous
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    I got 29=x^2?

  28. saifoo.khan
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    The answer's 29.

  29. anonymous
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    thats the length of the two bases?

  30. saifoo.khan
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Nope, since we got the value of "x". we can substitute the value in For the top one, 2x - 12 2(29) - 12 46 For the below one, 2(x) 2(29) 58.

  31. anonymous
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    So the total is 104 then? Thank you so much!!

  32. saifoo.khan
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    NO! we do not need their sum! We want the values for the Top Side and the Most Bottom Side.

  33. anonymous
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    ohhh ok gotcha, so i just separate it with a comma. Like: the lengths of the two bases are 46,58?

  34. saifoo.khan
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    YES! :D

  35. anonymous
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    it was 57,45???

  36. anonymous
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    thanks anyways!!

  37. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.