ohn and David start at the same spot. John goes 4 miles north and 3 miles west. David goes 1 mile south and some unknown amount of miles east. If they are 13 miles apart from each other then how many miles east did David go

Respuesta :

David went about 7.94 miles east for they to be 13 miles apart.

Distance

The distance between two points is the amount of separation between the points.

Let O represent the starting point, D for David endpoint and J for John end point.

Using Pythagoras:

OJ² = 4² + 3²

OJ = 5 miles

OD + OJ = 13

OD = 8 miles

Using Pythagoras:

8² = 1² + East²

East = 7.94 miles

David went about 7.94 miles east for they to be 13 miles apart.

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