Question 1210282
<pre>

{{{drawing(400,185/3,-10, 230,-10,27,

red(line(0,0,98.4807753,17.36481777),
line(98.4807753,17.36481777,220,0)),
green(line(0,0,220,0)),

locate(0,0,M), locate(220,0,O),
locate(96,0,220),
locate(45,20,100),locate(60,15,10^o),
locate(95,28,A), locate(150,19,x))}}}

Point M represents Miami, point O represents Orlando.
Point A represents the point at which the pilot adjusted his path
directly toward Orlando,

The red path is his actual flight.
The green path is the direct route.

we find x in triangle MAO:

We have SIDE-ANGLE-SIDE given, so we use the law of cosines:

{{{x^2=100^2+220^2-2(100)(220)cos(10^o)}}}
{{{x^2=15068.45887}}}
{{{x=122.7536511}}}

His flight path is 100 + x = 100 + 122.7536511 = 222.7536511
So his flight was 222.7536511 - 220 =  2.753651147 miles farther than
the direct route.   Round off as you were instructed.

Edwin</pre>