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    Determining the distance

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    Joe and Jill set sail from the same point, with Joe sailing in the direction of S4 degree east and Jill sailing in the direction S9 degree west. After 4 hr, Jill 2 mi due west of Joe. How far had Jill sailed?

    © BrainMass Inc. brainmass.com December 24, 2021, 4:43 pm ad1c9bdddf
    https://brainmass.com/math/geometry-and-topology/determining-distance-4000

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    The diagram is in the word file attached.

    Joe and Jill set sail from the same point, with Joe sailing in the direction of S4 degree east and Jill sailing in the direction S9 degree west. After 4 hr, Jill 2 mi due west of Joe. How far had Jill sailed?

    Jill moves in the direction OA. Angle SOA=9 degrees
    Joe moves in the direction OB. Angle SOB=4 degrees
    We have to calculate OA the distance Jill has sailed.

    After 4 hrs Jill is 2 miles due West of Joe. This means that AB=2 miles and angle OSA=angle OSB= 90 degrees

    OA Cos 9 degrees= OB cos 4 degrees= OS
    OB= OA x ( Cos 9/ Cos 4)= 0.99 OA

    AB= AS+ BS
    AS= OA Sin 9 degrees
    BS= OB Sin 4 degrees= (0.99 OA ) Sin 4 degrees
    AB= 2 miles =OA Sin 9 degrees + 0.99 OA Sin 4 degrees= 0.2255 OA
    OA= 2/0.0255=8.86 miles

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    © BrainMass Inc. brainmass.com December 24, 2021, 4:43 pm ad1c9bdddf>
    https://brainmass.com/math/geometry-and-topology/determining-distance-4000

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