Question

Please help with this word problem would be a huge help!!

Answer 1

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:

$5^2+10^2=c^2$

$25+100=c^2$

$125=c^2$

Square root both sides:

$\sqrt{125}=c$

$11.2 \approx c$

11.2 miles would be the length of that direct path.