$\"\"$

Draw the related diagram :

$\"\"$

Observe the figure :

$\"\"$ .

The Law of Sines: $\"\"$ .

$\"\"$

Substittue the values. \ \

$\"\"$

$\"\"$ .

consider $\"\"$ .

$\"\"$

$\"\"$ .

Hence, the total distance travelled by second flight is $\"\"$ .

Therefore, the adam will receive the sound $\"\"$ .

$\"\"$

Adam receives $\"\"$ more frequent flyer miles.