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anonymous

  • one year ago

An unmanned rescue submarine is scanning the ocean floor from a height of 150 feet above the floor. The field of view of the scan is 40 degrees. What is the diameter of the circle captured by the scan at any one moment? How would I do this? Please help!

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  1. freeG13
    • one year ago
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    80 degrees is the diameter

  2. anonymous
    • one year ago
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    Wouldn't the diameter be in feet?

  3. freeG13
    • one year ago
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    yes sorry I forgot to put ft in the middle for 80 ft degrees

  4. amistre64
    • one year ago
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    |dw:1433272647169:dw|

  5. anonymous
    • one year ago
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    @amistre64 what equation would I use to find r?

  6. amistre64
    • one year ago
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    something triggy i believe, what trig function do you know?

  7. amistre64
    • one year ago
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    perferably the one that uses the legs of the right triangle as its ratio

  8. anonymous
    • one year ago
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    I am not sure which one that would be, cos sin or tan, this problem is a lot harder than any they've given us before.

  9. amistre64
    • one year ago
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    well, we need one of those, define all all three for me, to the best of your recollection, ill correct if needed

  10. anonymous
    • one year ago
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    sin - o/s*h cos - a/c*h tan - o/t*a

  11. anonymous
    • one year ago
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    it would be tan?

  12. amistre64
    • one year ago
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    tangent yes so: tan(a) = r/h what is r? and for that matter, what would a be as well?

  13. amistre64
    • one year ago
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    your formulas are odd to me, soh cah toa is a memory device, and it seems that youve got them kind of in order ... toa would referet o: tan = o/a

  14. amistre64
    • one year ago
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    |dw:1433273093727:dw|

  15. anonymous
    • one year ago
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    why is 40/2? instead of 40?

  16. amistre64
    • one year ago
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    40 is our angle from outside to outside of the circle|dw:1433273181681:dw|

  17. anonymous
    • one year ago
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    ohhh!

  18. amistre64
    • one year ago
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    ideally, our sub is above the center of it ....

  19. anonymous
    • one year ago
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    How would I find r? tan of angle?

  20. amistre64
    • one year ago
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    tan(a) = r/h multiply both sides by h h tan(a) = r, and the diameter is just 2r

  21. amistre64
    • one year ago
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    we know h and a, the rest is a calculator

  22. anonymous
    • one year ago
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    would the diameter then be 671.15? That seems a little high

  23. anonymous
    • one year ago
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    tan(20) * 150 = r * 2 =671

  24. amistre64
    • one year ago
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    150*tan(20) = radius 2*150*tan(20) = diameter you have your calculator in radian mode

  25. amistre64
    • one year ago
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    put it in degree mode, or else convert, multiply by 180/pi

  26. anonymous
    • one year ago
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    multiply 671 by 180/pi?

  27. amistre64
    • one year ago
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    sure, thats a simple fix, itll define it in degree mode that way

  28. anonymous
    • one year ago
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    109.2

  29. amistre64
    • one year ago
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    lets take out human error ... http://www.wolframalpha.com/input/?i=2*150*tan%2820deg%29

  30. amistre64
    • one year ago
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    yes, thats better

  31. anonymous
    • one year ago
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    perfect thank you!

  32. amistre64
    • one year ago
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    yw

  33. anonymous
    • one year ago
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    Would you be willing to help with a similar one?

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