Question #83896

1 Answer
EET-AP
May 30, 2017

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

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