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

Question

Mathias Hancock

Mathematics

9 February, 17:46

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

+1

Answers (2)

Know the Answer?

Abby King · 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

Erika Holmes · Answer 2

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

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/sB) 3.0 m/sC) 13.0 m/sD) 9.4m/s

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