Jake walks 4m due north and then 3m due west to take a walk. The distance that jake walks is ___ m

5m

Explanation:

Let x be the distance that Jake walked,

(4²+3²)=x²

25=x²

x=5m

The distance that Jake walks is 5 meters.

Both north and west directions are orthogonal to each other, that is, perpendicular to each other. Hence, we can determine the resulting distance by means of the Pythagorean Theorem:

(1)

Where:

If we know that and , then the resulting distance is:

The distance that Jake walks is 5 meters.

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