anonymous
  • anonymous
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!
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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freeG13
  • freeG13
80 degrees is the diameter
anonymous
  • anonymous
Wouldn't the diameter be in feet?
freeG13
  • freeG13
yes sorry I forgot to put ft in the middle for 80 ft degrees

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More answers

amistre64
  • amistre64
|dw:1433272647169:dw|
anonymous
  • anonymous
@amistre64 what equation would I use to find r?
amistre64
  • amistre64
something triggy i believe, what trig function do you know?
amistre64
  • amistre64
perferably the one that uses the legs of the right triangle as its ratio
anonymous
  • anonymous
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.
amistre64
  • amistre64
well, we need one of those, define all all three for me, to the best of your recollection, ill correct if needed
anonymous
  • anonymous
sin - o/s*h cos - a/c*h tan - o/t*a
anonymous
  • anonymous
it would be tan?
amistre64
  • amistre64
tangent yes so: tan(a) = r/h what is r? and for that matter, what would a be as well?
amistre64
  • amistre64
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
amistre64
  • amistre64
|dw:1433273093727:dw|
anonymous
  • anonymous
why is 40/2? instead of 40?
amistre64
  • amistre64
40 is our angle from outside to outside of the circle|dw:1433273181681:dw|
anonymous
  • anonymous
ohhh!
amistre64
  • amistre64
ideally, our sub is above the center of it ....
anonymous
  • anonymous
How would I find r? tan of angle?
amistre64
  • amistre64
tan(a) = r/h multiply both sides by h h tan(a) = r, and the diameter is just 2r
amistre64
  • amistre64
we know h and a, the rest is a calculator
anonymous
  • anonymous
would the diameter then be 671.15? That seems a little high
anonymous
  • anonymous
tan(20) * 150 = r * 2 =671
amistre64
  • amistre64
150*tan(20) = radius 2*150*tan(20) = diameter you have your calculator in radian mode
amistre64
  • amistre64
put it in degree mode, or else convert, multiply by 180/pi
anonymous
  • anonymous
multiply 671 by 180/pi?
amistre64
  • amistre64
sure, thats a simple fix, itll define it in degree mode that way
anonymous
  • anonymous
109.2
amistre64
  • amistre64
lets take out human error ... http://www.wolframalpha.com/input/?i=2*150*tan%2820deg%29
amistre64
  • amistre64
yes, thats better
anonymous
  • anonymous
perfect thank you!
amistre64
  • amistre64
yw
anonymous
  • anonymous
Would you be willing to help with a similar one?

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