The approximate velocity of the airplane in miles per minute is 2.8 miles per minute which is option c.
Velocity is basically the distance covered in a particular time. It is expressed in two units like km per second.
We have been given that airplane has an altitude of 2 miles per altitude. It forms a right angled triangle. We can calculate the distance between airplane and person which is as under.
tan 40°=2/ Distance
Distance=2/ 0.84
=2.38
Distance between person and airplane before 15 seconds is 2.38 miles.
Now we have to calculate the distance betweeen airplane and person which is as under:
tan 50°=2/ distance
Distance=2/tan 50°
=2/1.191
=1.68
Distance between person and airplane after 15 seconds is 1.68 miles.
Difference between both distances is the distance covered by airplane during those 15 seconds=2.38-1.68=0.70
Velocity=Distance/time
=0.70/15
=0.046 per second
But we need in per minute unit.
1 minute=60 second so velocity in per minute is 0.046*60=2.76.
Approximate the number we get 2.78.
Hence the velocity of the airplane is 2.78 per minute which is option c.
Learn more about velocity at https://brainly.com/question/4931057
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