Question #83896

1 Answer
May 30, 2017

Answer:

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.

enter image source here

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