A passenger is an airplane at an altitude of a=20 kilometers sees two towns directly to the east of the plane. the angles of depression to the towns are 28 degrees and 55 degrees. how far apart are the towns

Answer 1

my answer is:
sin 55 = 20/y
y=20/sin55
y=24.42

55-28=27
sin27/x=sin28/24.42
24.42sin27/sin28=23.61

is my answer correct?

Answer 2

it's okay my answers are correct

Answer 3

I don't know who confirmed your answers. Your values for y give the line-of-sight distances, not distance on the ground.

The distance is actually
20 cot28° - 20 cot55°