Question
mary walks eastfrom her house 5 miles then north 17 miles to meet her friend at the park. is she had traveled in a straight line from her home to the park, (approximately) how many miles would she have walked?
Answers
GPT-4o mini
To find out how many miles Mary would have walked if she had traveled in a straight line from her home to the park, we can use the Pythagorean theorem.
Mary first walks 5 miles east and then 17 miles north. This creates a right triangle where:
- One leg (east) = 5 miles
- The other leg (north) = 17 miles
Using the Pythagorean theorem, we can calculate the hypotenuse (the direct distance from her home to the park) as follows:
\[
c = \sqrt{a^2 + b^2}
\]
where:
- \( a = 5 \) (east)
- \( b = 17 \) (north)
Substituting in the values:
\[
c = \sqrt{5^2 + 17^2} = \sqrt{25 + 289} = \sqrt{314} \approx 17.7
\]
So, if Mary had traveled in a straight line, she would have walked approximately **17.7 miles**.
Mary first walks 5 miles east and then 17 miles north. This creates a right triangle where:
- One leg (east) = 5 miles
- The other leg (north) = 17 miles
Using the Pythagorean theorem, we can calculate the hypotenuse (the direct distance from her home to the park) as follows:
\[
c = \sqrt{a^2 + b^2}
\]
where:
- \( a = 5 \) (east)
- \( b = 17 \) (north)
Substituting in the values:
\[
c = \sqrt{5^2 + 17^2} = \sqrt{25 + 289} = \sqrt{314} \approx 17.7
\]
So, if Mary had traveled in a straight line, she would have walked approximately **17.7 miles**.