# Solve the following problem using analytical techniques: Suppose you walk 17.5 m straight west and then 24.0 m straight north. How far r you from your starting point, & what is the compass direction of a line connecting your starting point to your final?

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(If you represent the two legs of the walk as vector displacements A and B, as in the figure below, then this problem asks you to find their sum

R = A + B. Give the direction in degrees north of west.)

(If you represent the two legs of the walk as vector displacements A and B, as in the figure below, then this problem asks you to find their sum

R = A + B. Give the direction in degrees north of west.)

##### 1 Answer

Jul 18, 2017

Simply calculate your hypotenuse and angle

#### Explanation:

You first went to West and North.

Your hypotenuse is your total distance from the starting point:

However it is not a right statement that

Your direction is northwest.

Now use trigonometry: