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10 August, 07:32

a ferry shuttles people from one side of a river to the other. the speed of the ferry is still water is 25 mi/h. the river flows directly north at 9 mi/h. if the ferry heads directly west, what are the ferrys resultant speed and direction

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  1. 10 August, 10:55
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    The Terry's resultant speed is 27mi/h

    Direction of ferry=20°

    Step-by-step explanation:

    (-25,0) + (0, 9) = (-25, - 9) is the vector representing the movement of the ferry

    Speed of ferry = sqrt[ (-25) ^2 + (-9) ^2]

    Speed = sqrt (-625 + (-81))

    Speed = sqrt (-706)

    Speed=26.57mi/h

    Nearest tenth, speed = 27mi/h

    Tanz° = (-9/-25)

    Tanz° = 0.36

    Z° = tan^-1 0.36

    Z = 19.80°

    Nearest tenth, z=20°
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