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:
Square root both sides:
11.2 miles would be the length of that direct path.