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15 August, 04:53

A boat is traveling east across a river that is 112 meters wide at 8 meters per second. If the river has a northward current of a 5 meters per second, what is the resultant speed of the motorboat rounded to the nearest tenth?

A) 8.6 m/s

B) 3.0 m/s

C) 13.0 m/s

D) 9.4m/s

+5
Answers (2)
  1. 15 August, 06:12
    0
    This is the concept of application of the Pythagorean theorem. The resultant speed of the motorboat which is crossing the river that has a northward current of 5 m/s at a speed of 8 m/s will be given by:

    c^2=a^2+b^2

    c^2=8^2+5^2

    c^2=64+25

    c^2=89

    c=sqrt89

    c=9.4 m/s
  2. 15 August, 07:32
    0
    D) 9.4 m/s

    Step-by-step explanation:

    The boat has an eastward speed of 8 m/s and a northward speed of 5 m/s. The resultant speed can be found with Pythagorean theorem:

    v² = (8 m/s) ² + (5 m/s) ²

    v = 9.4 m/s
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Home » Mathematics » A boat is traveling east across a river that is 112 meters wide at 8 meters per second. If the river has a northward current of a 5 meters per second, what is the resultant speed of the motorboat rounded to the nearest tenth? A) 8.6 m/s B) 3.
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