Question

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

Answer 1

11.2 miles

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:

`√(125)=c`

`11.2 \approx c`

11.2 miles would be the length of that direct path.