Jimmy’s Jogging Distance from Home

The correct answer is C: 5 miles.

To find out how far Jimmy is from home in a straight line, we can use the Pythagorean theorem. He first ran 3 miles west and then 4 miles north. These two distances form a right triangle, where:

– One leg of the triangle is 3 miles (west).

– The other leg of the triangle is 4 miles (north).

According to the Pythagorean theorem:

( c^2 = a^2 + b^2 )

Where:

– ( c ) is the hypotenuse (the distance from home),

– ( a ) is one leg (3 miles),

– ( b ) is the other leg (4 miles).

Now, substituting the values:

( c^2 = 3^2 + 4^2 )

( c^2 = 9 + 16 )

( c^2 = 25 )

( c = sqrt{25} )

( c = 5 )

So, Jimmy is 5 miles away from home.