Question
Jonathan walks east from his house 4 miles then north 3 miles to meet his friend at the park. If he had traveled in a straight line from his home to the park, how many miles would he have walked?
10 miles
8 miles
7 miles
5 miles
10 miles
8 miles
7 miles
5 miles
Answers
GPT-4o mini
To find the straight-line distance from Jonathan's house to the park, we can use the Pythagorean theorem. Jonathan walks 4 miles east and 3 miles north, forming a right triangle.
Let \( a = 4 \) miles (east) and \( b = 3 \) miles (north). The distance \( c \) (the hypotenuse) can be calculated as follows:
\[
c = \sqrt{a^2 + b^2}
\]
Substituting the values:
\[
c = \sqrt{4^2 + 3^2} = \sqrt{16 + 9} = \sqrt{25} = 5
\]
Thus, if Jonathan had traveled in a straight line from his home to the park, he would have walked **5 miles**.
Let \( a = 4 \) miles (east) and \( b = 3 \) miles (north). The distance \( c \) (the hypotenuse) can be calculated as follows:
\[
c = \sqrt{a^2 + b^2}
\]
Substituting the values:
\[
c = \sqrt{4^2 + 3^2} = \sqrt{16 + 9} = \sqrt{25} = 5
\]
Thus, if Jonathan had traveled in a straight line from his home to the park, he would have walked **5 miles**.