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 5 meters per second, what is the resultant speed of the motorboat rounded to the nearest tenth? A. 3.0 m/s B. 9.4 m/s C. 13.0 m/s D. 8.6 m/s

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Mathematics

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9 July, 23:00

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 5 meters per second, what is the resultant speed of the motorboat rounded to the nearest tenth? A. 3.0 m/s B. 9.4 m/s C. 13.0 m/s D. 8.6 m/s

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Naveen · Answer 1

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