Question

Question #83896

Answer 1

The object will be displaced by `5m` at `36.9^0` south of east,
or `5m` approximately south east of its original location.

The total distance covered is `3m+4m+6m=13m`

Explanation:

The object originally went out of its way to arrive at its destination.
If the object was a person and the `m` was miles, he probably had to pick up gas on the way to work.

The object has a final displacement that can be calculated using the two given sides `4m and (6m)/2=3m` which we should memorize because they always will result in a `3,4,5, right angle triangle` which is shown as the `displacement triangle` below.

A `3,4,5, right angle triangle` will have angles of `36.9^0 and 53.1^0` as well as the right angle as defined here:
http://www.mathopenref.com/triangle345.html