Answer:
11.2 miles
Step-by-step explanation:
What has been describe here is a right triangle.
He went 10 miles east, and he turned left and went 5 miles. He started at home ended at work. We want to make a road from his home directly to his workplace (no turns; straight there).
So we have by Pythagorean Theorem:
[tex]5^2+10^2=c^2[/tex]
[tex]25+100=c^2[/tex]
[tex]125=c^2[/tex]
Square root both sides:
[tex]\sqrt{125}=c[/tex]
[tex]11.2 \approx c[/tex]
11.2 miles would be the length of that direct path.
