geometry

posted by .

Miguel is driving his motorboat across a river. The speed of the boat in still water is 10 mi/h. The river flows directly south at 3 mi/h. If Miguel heads directly west, what are the boat’s resultant speed and direction? Round answers to the nearest tenth.

  • geometry -

    you have a right triangle with legs 3 and 10.

    The resultant speed is the hypotenuse: √(36+100) = √136 = 11.7

    direction is W θ S

    where tanθ = 3/10, so that's W16.7°S

  • geometry -

    the resultant speed is the hypotenuse
    9+100=109
    √109=10.4

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Physics

    A current of a river flows steadily from west to east at 1.00 m/s. A boat in the river travels at 3.00 m/s relative to the water. The river is 20.0 m wide with parallel banks. The boat leaves the shore at point A, and point B is directly …
  2. Physics

    A motorboat heads due east at 8.5 m/s across a river that flows to the south at a speed of 2.5 m/s. a. What is the velocity of the boat relative to a stationary observer on the shore?
  3. Geometry

    You are boating and heading directly west. The speed of the boat in still water is 36 mi/h. The river flows directly north at 15 mi/h. What is your resultant speed and directional?
  4. physics

    A boat propelled so as to travel with a speed of 0.50m/s in still water, moves directly (in a straight line) across a river that is 60m wide. The river flows with a speed of 0.30m/s. How long in seconds does it take the boat to cross …
  5. vectors components

    plz answer my question a river is 2 km wide and flows at 4km/h. a motorboat has a speed of 10 km/h in still water and heads out from one bank. a marina is directly across the river, on the opposite bank. if the motorboat heads directly …
  6. math

    20. Miguel is driving his motorboat across a river. The speed of the boat in still water is 11 mi/h. The river flows directly south at 2 mi/h. If Miguel heads directly west, what are the boat’s resultant speed and direction?
  7. math

    The speed of a powerboat in still water is 35 mi/h. It is traveling on a river that flows directly south at 8 mi/h.the boat heads directly west across the river. What are the resulting speed and direction of the boat?
  8. Physics

    A boat propelled so as to travel with a speed of 0.5m/s in still water, moves directly (in a straight line) across a river that is 60m wide. The river flows with a speed of 0.30m/s. How long in seconds does it take the boat to cross …
  9. Physics

    The captain of a boat wants to travel directly across a river that flows due east with a speed of 1.09 m/s. He starts from the south bank of the river and wants to reach the north bank by travelling straight across the river. The boat …
  10. Need Help Physics

    The captain of a boat wants to travel directly across a river that flows due east with a speed of 1.09 m/s. He starts from the south bank of the river and wants to reach the north bank by travelling straight across the river. The boat …

More Similar Questions