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anonymous

  • 5 years ago

At 1 P.M., ship A is 150 km west of ship B. Ship A is sailing east at 35 km/h and ship B is sailing north at 25 km/h. How fast is the distance between the ships changing at 5 P.M.? (Round your answer to one decimal place.

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  1. amistre64
    • 5 years ago
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    how fast is the distance changing...thats me calculus ;)

  2. amistre64
    • 5 years ago
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    there is a 4hour difference, so our trianlge has to reflect that fact..

  3. anonymous
    • 5 years ago
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    i keep getting 53.7

  4. anonymous
    • 5 years ago
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    but its wrong

  5. amistre64
    • 5 years ago
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    x^2 + y^2 = r^2 Dx 2x + Dy 2y = Dr 2r ; dicide the 2s Dx x + Dy y = Dr r Dr = Dx x + Dy y //r Dx =35; Dy =25. lets find x, y and r :)

  6. amistre64
    • 5 years ago
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    y = 25(4) x = 35(4) +150

  7. anonymous
    • 5 years ago
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    y did u miltiply by 4?

  8. anonymous
    • 5 years ago
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    ooooo i c

  9. amistre64
    • 5 years ago
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    r = sqrt(100^2 + 190^2)

  10. amistre64
    • 5 years ago
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    4 hours right :)

  11. anonymous
    • 5 years ago
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    i multiplied them by 5

  12. anonymous
    • 5 years ago
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    ok dont tell me answer..i wanna c if i can get this

  13. amistre64
    • 5 years ago
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    Dr = 35(100) + 25(190) ----------------- sqrt(10000 + 190^2)............you might to close your eyes for this then :)

  14. anonymous
    • 5 years ago
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    where did the 190 come from?

  15. anonymous
    • 5 years ago
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    the 100 came from multipying the 25 by 100 right

  16. amistre64
    • 5 years ago
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    150 + 4(35) = 150 + 140 = ...290.....

  17. anonymous
    • 5 years ago
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    i mean 25 by 4

  18. amistre64
    • 5 years ago
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    25(4) yes = 100

  19. anonymous
    • 5 years ago
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    oo ok

  20. amistre64
    • 5 years ago
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    see, its good to check my work; after all, im just an idiot an disguise ;)

  21. anonymous
    • 5 years ago
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    so is it 49.7

  22. amistre64
    • 5 years ago
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    dunno, I stopped the math cause you didnt wanna know lol

  23. amistre64
    • 5 years ago
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    Dr = 35(290) + 25(100) ----------------- looks better to me eh sqrt(10000 + 290^2)

  24. amistre64
    • 5 years ago
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    10150 +2500 7650 ------------ = ---------- = 24.91... is what I get sqrt(94100) sqrt(94100)

  25. amistre64
    • 5 years ago
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    i had to adjust for my own stupidity :)

  26. anonymous
    • 5 years ago
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    it said it was wrong :(

  27. amistre64
    • 5 years ago
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    ..... well the Dr part is correct, double check the distances to be sure.

  28. anonymous
    • 5 years ago
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    for last step i did it differently, i did (140+100)/290 *(35+25)

  29. amistre64
    • 5 years ago
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    Dr = Dw w + Dn n //r lets call it north and west...

  30. amistre64
    • 5 years ago
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    or e for east.... im going blind i tell ya..BLIND!!

  31. amistre64
    • 5 years ago
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    Dr = De e + Dn n //r De = 35; Dn = 25 e = 150 + 4(35); n = 4(25) e = 290; n = 100 Dr = 35(290) + 25(100) //r r = sqrt(290^2 + 100^2) = sqrt(84100 + 10000) = sqrt(94100) Dr = 10150 + 2500 12650 ------------- = ------- sqrt(94100) sqrt(94100) Dr = 41.2378

  32. amistre64
    • 5 years ago
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    that should be it :)

  33. anonymous
    • 5 years ago
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    ok thank u!!

  34. amistre64
    • 5 years ago
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    just hope its right :)

  35. anonymous
    • 5 years ago
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    u really are a life saver!!

  36. amistre64
    • 5 years ago
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    thanx ;)

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