# You walk 53m to the north, then turn 30 degrees to your right and walk another 45m. How far are you from where you orginally started?

##### 1 Answer

Apr 7, 2017

94.7m

#### Explanation:

Using the Law of Cosines this is easy to calculate. If you set your initial path as “side b” (From apex A to C) and the second path as “side a” (From apex C to B), then the distance from your origin is “side c” (From apex A to B) and is calculated from the Law of Cosines equation as:

BUT remember that a “turn to the right” of 30’ means that angle for the equation is (180 – 30) = 150! *(that just makes the cos value negative, but that is very important for the calculated value)*