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anonymous

  • 5 years ago

To find the distance from the house at A to the house at B, a surveyor measures the angle ACB, which is found to be 70°, and then walks off the distance to each house, 50 feet(A to C) and 70 feet(C to B), respectively. How far apart are the houses? (answer to 1 decimal place) in feet

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  1. amistre64
    • 5 years ago
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    so we got a ABC tri AC =50 ;BC = 70 and angle c=70 degrees law of cosines

  2. amistre64
    • 5 years ago
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    (AB)^2 = 50^2 + 70^2 -2(50)(70) cos(70)

  3. amistre64
    • 5 years ago
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    google gives me: sqrt((50^2) + (70^2) - (2 * 50 * 70 * cos(70))) = 54.4680234

  4. amistre64
    • 5 years ago
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    54.5

  5. anonymous
    • 5 years ago
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    the answer is wrong :)

  6. anonymous
    • 5 years ago
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    would the answer be 85.8?

  7. amistre64
    • 5 years ago
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  8. amistre64
    • 5 years ago
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    i got the 50 and 70 backwards in the diagram; but that doesnt affect the answer

  9. anonymous
    • 5 years ago
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    ye true. when i calculated it i got 85.8? calc error?

  10. amistre64
    • 5 years ago
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    2500 + 4900 - 7000(cos(70)) = 54.4680

  11. amistre64
    • 5 years ago
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    well; the square root of that equals 54.4680

  12. amistre64
    • 5 years ago
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    54.4; try that?

  13. anonymous
    • 5 years ago
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    sry im gettin 70.75

  14. amistre64
    • 5 years ago
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    then your hitting the wrong button lol

  15. amistre64
    • 5 years ago
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    did you typo the original question you posted?

  16. anonymous
    • 5 years ago
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    nah i typed it correctly. could it be the picture u drew?

  17. amistre64
    • 5 years ago
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    the picture? lol.... that doesnt affect the math

  18. amistre64
    • 5 years ago
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    i labeld it and everything lol

  19. anonymous
    • 5 years ago
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    i put in 70.8. that is the correct answer

  20. amistre64
    • 5 years ago
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    what formula did you use?

  21. anonymous
    • 5 years ago
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    the exact same that you used. i think its just a calc error

  22. amistre64
    • 5 years ago
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    i used afew different calculators :)

  23. anonymous
    • 5 years ago
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    haha lol. hey do u know how i can put a pic with my question?

  24. amistre64
    • 5 years ago
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    http://www.wolframalpha.com/input/?i=sqrt%2850^2+%2B70^2+-%282*70*50*cos%2870%29%29%29

  25. amistre64
    • 5 years ago
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    if you have it in a file on your comluter; just use the 'attach file' button located at the bottom of this reply window

  26. amistre64
    • 5 years ago
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    wolfram says your right lol

  27. anonymous
    • 5 years ago
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    lol but i give u all the credit hahaha

  28. amistre64
    • 5 years ago
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    my calcs were in radians disguised as degrees lol

  29. amistre64
    • 5 years ago
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    70 rads is not the same as 70 degrees

  30. anonymous
    • 5 years ago
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    hahah. i always do that mistake

  31. amistre64
    • 5 years ago
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    there should be a "are you sure your not forgetting something" option that pops up lol

  32. anonymous
    • 5 years ago
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    haha if only!! that would be epic.

  33. anonymous
    • 5 years ago
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    mate which country r u from?

  34. amistre64
    • 5 years ago
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    usa... down here in florida

  35. anonymous
    • 5 years ago
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    wow thats a long way from here!! im down under at australia

  36. amistre64
    • 5 years ago
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    yeah; but it shorter if you go thru hyperspace ;)

  37. anonymous
    • 5 years ago
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    hahahaha true that!!! you better invent that one day

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