Swimming in a River: Calculate Your Actual Direction

To determine the direction in bearings, you need to find the resultant velocity vector by considering both your swim velocity and the river's flow velocity.

Given: Swim velocity = 1 m/s north River flow velocity = 0.3 m/s east

To find the resultant velocity, you can use vector addition. The x-component of the resultant velocity will be the sum of the x-components of the swim and river flow velocities, and the y-component will be the sum of the y-components.

x-component of resultant velocity = 1 m/s north + 0.3 m/s east = 0 m/s north + 0.3 m/s east = 0.3 m/s east

y-component of resultant velocity = 1 m/s north + 0 m/s east = 1 m/s north

Therefore, the resultant velocity vector is 0.3 m/s east and 1 m/s north. To express this direction in bearings, you can use the arctan function to find the angle between the resultant velocity vector and the north direction.

angle = arctan(0.3/1) ≈ 16.7 degrees

So, you are swimming in the direction of approximately 16.7 degrees east of north.