Trig

Suppose you would like to cross a 204 ft wide river in a boat. Assume that the boat can travel 37 mph relative to the water and the current is flowing westbat a rate of 6mph. What bearing should be chosen so that the boat will land at a point exactly across from the starting point?

  1. 👍
  2. 👎
  3. 👁
  1. Aim upstream at angle
    A = sin^-1(6/37) = 9.3 degrees

    The upstream component of the boat's velocity relative to the water will then cancel out the river's flow speed.

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. 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

  2. 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

  3. 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? B. If the river is 1360 m wide, how long does

  4. Physics

    A boat moving at 5 mi/h is to cross a river in which the current is flowing at 3 mi/h. In what direction should the boat head to reach a point on the other bank of the river directly opposite the starting point?

  1. science

    A boat moving at 5 mi/hr is ti cross a river in which the current is flowing at 3 mi/hr. In what direction should the boat head in order to reach a point on the other bank of the river directly opposite its starting point?

  2. Math: Calculus - Vectors

    A boat travels at a speed of 5 m/s in still water. The boat moves directly across a river that is 70m wide. The water in the river flows at a speed of 2 m/s. How long does it take the boat to cross the river? In what direction is

  3. physics

    A boat travels at 3.8 m/s and heads straight across a river 240 m wide. The river flows at 1.6 m/s. Find A) The boat's resultant velocity. B) How long it takes the boat to cross the river. C) How far downstream the boat is when it

  4. Physics 114

    You are riding in a boat whose speed relative to the water is 7.2 m/s. The boat points at an angle of 25.7° upstream on a river flowing at 14.1 m/s. Find the time it takes for the boat to reach the opposite shore if the river is

  1. Math

    A boat is heading due north as it crosses a wide river with a velocity of 10km/hr relative to the water.the river has a velocity of 5km due east determine the velocity of the boat with respect on the river bank

  2. PHYSICS. HELP.

    A motorboat heads due west at 10 m/s. The river has a current that travels south at 6 m/s. a) what is the resultant velocity? b) If the river is 200 m wide, how long doe sit take the boat to cross the river? c) How far downstream

  3. Math

    A boat, whose speed in still water is 2.80m/s , must cross a 280m wide river and arrive at a point 120m upstream from where it starts. To do so, the pilot must head the boat at a 45.0 degrees upstream angle. What is the speed of

  4. calc Urgent please

    A boat heads 15 degrees west of north with a water speed of 3m/s. Determine its velocity relative to the ground when there is a 2m/s current from 40 degrees east of north. How long does it take to cross the river which is 800 m

You can view more similar questions or ask a new question.