anonymous
  • anonymous
"At time 1050 you see another aircraft on a bearing of 040° at a range of 10 miles. If at 1056 the bearing remains 040° but the range has reduced to 8 miles. At what time will the range reduce to 1 mile, assuming the bearing remains constant?" Got 1117 hrs.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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amistre64
  • amistre64
sounds like a calculus problem.... you able to do calculus and related rates yet?
amistre64
  • amistre64
otherwise, we can do right triangles to figure speed and such
anonymous
  • anonymous
ermm.. No. I have only done A level maths

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amistre64
  • amistre64
ok.. lets see if I got the "facts" straight... 40 degrees means that you turn your head 40 degrees and see the other airplane right? and the distance between you and that other airplane is decreasing at a certain rate ..... which means that the "hypotenuse" of our right triangle is getting shorter... does that seem about right?
anonymous
  • anonymous
yep thats how I see it, but not how I did it. I couldnt figure out how to do it properly so I just used the time tit travelled a mile while is 3 mins, assuming it is moving at a uniform speed but I could be wrong
amistre64
  • amistre64
ok.... then we know one simple fact. The planes appear to be approaching each other at a rate of 2 miles every 6 minutes... or 1 mile every 3 minutes. 10miles - 9 miles = 1 mile apart. How long does it take to fly 9 miles? 9*3 = 27 minutes to cover 9 miles... is that right?
amistre64
  • amistre64
err... 3 minutes to cover 9 miles lol
amistre64
  • amistre64
ack!!!... i confused myself again
amistre64
  • amistre64
27 minutes... 9 miles * 3 minutes per mile = 27 minutes.. lets stick with that
amistre64
  • amistre64
tell me when im wrong.... cause i can be wrong :)
anonymous
  • anonymous
lol yeah
anonymous
  • anonymous
thats what I got
anonymous
  • anonymous
then I added 27 to the original time but I dont know if thats right cos I dont have the answers T_T
amistre64
  • amistre64
10.50 + 0.27 =... 10.77 77 - 60 = 17 11.17 sounds good
anonymous
  • anonymous
Ok thanks. Btw how would you do it in calculus?
amistre64
  • amistre64
how would I do it in calculus? probably with alot of erasing :)
anonymous
  • anonymous
lol
amistre64
  • amistre64
youd have to know how fast each plane was traveling and the headings they were on to calculate the rates of change, so I dont think there is anough information to use calculus on this problem...
anonymous
  • anonymous
oh cool .. well thanks for your help. Gonna do some physics now. later
amistre64
  • amistre64
youre welcome :)

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