Answer: 14 miles
Step-by-step explanation:
In the attached figure we can see the two segments the man drove, where the [tex]d[/tex] is the distance of a road that goes from the man's home directly to his work.
It should be noted that [tex]d[/tex]is also the hypotenuse of the righ triangle formed. Hence, we can use the Pithagorean theorem to find this distance:
[tex]d=\sqrt{(11 mi)^{2} + (9 mi)^{2}}[/tex]
Then:
[tex]d=14.21 mi \approx 14 mi[/tex]
