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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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anniwuanyanwu1

Answer:

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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