Question

A person swims 6.4 meters per

Answer 1

Using the slope concept, it is found that the angle of the swimmer's resultant vector is of 71.83º.

What is a slope?

• The slope is given by the vertical change divided by the horizontal change.

• It's also the tangent of the angle of depression.

In this problem:

• The person swims 6.4 meters per second north, hence the vertical change is of 6.4.

• The person is being pushed by a current moving west at 2.1 meters per second, hence the horizontal change is 2.1.

Then, considering that the slope is the tangent of the angle of depression $\theta$, which is also the angle of the  swimmer's resultant vector, we have that:

$\tan{\theta} = \frac{6.4}{2.1}$

$\tan{\theta} = 3.04761904762$

Using a trigonometric calculator:

$\arctan{\tan{\theta}} = \arctan{3.04761904762}$

$\theta = 71.83^{\circ}$

The angle of the swimmer's resultant vector is of 71.83º.

You can learn more about the slope concept at brainly.com/question/26125945