# If you travel #4# miles in one direction, turn left, travel #6# miles, turn right and travel #4# miles, then how far will you be from the starting point?

##### 1 Answer

I'm not entirely clear what you are asking for, but let me address the problem you describe:

Starting from the origin

Let us choose to travel in the positive direction along the

Turning to the left will orient us in a positive direction parallel to the

Moving forward

Turning to the right will orient us in a positive direction parallel to the

Moving forward

taking us to the point

If we drop a perpendicular onto the

The points

So the distance between the start and finish points is