You start driving north for 32 miles, turn right, and drive east for another 24
miles. At the end of driving, what is your straight line distance from your
starting point?

Respuesta :

The distance is 40 miles

Explanation:

Let A be the starting point.

Let the distance of AB is 32 miles.

The distance of BC is 24 miles.

We need to determine the distance between AC.

The distance of AC:

The distance between AC can be determined using the Pythagorean theorem.

Thus, we have,

[tex]AC^2=AB^2+BC^2[/tex]

Substituting the values, we have,

[tex]AC^2=32^2+24^2[/tex]

[tex]AC^2=1024+576[/tex]

[tex]AC=\sqrt{1600}[/tex]

[tex]AC=40[/tex]

Thus, the distance between the starting point and the ending point is 40 miles.

Hence, the distance is 40 miles.