Asked by Emma
an airplane flies directly overhead at 540mph. 1 minute later is seen at an angle of elevation of 34 degrees. how far did the airplane fly during that time? what is the elevation of the plane?
Answers
Answered by
Reiny
make a sketch.
let P be the position of the observer and point A the position of the plane directly above him
let B be the position of the plane 1 minute later
let the height AP be h miles
mark the angle of elevation as 34°, then angle PBA = 34°
in 1 minute the plane has traveled (1/60)540 or 9 miles
so AB = 9
h/9 = tan34°
h = 9tan34° = 6.07 miles
height of plane = 6.07 miles
distance covered in 1 minute = 9 miles
let P be the position of the observer and point A the position of the plane directly above him
let B be the position of the plane 1 minute later
let the height AP be h miles
mark the angle of elevation as 34°, then angle PBA = 34°
in 1 minute the plane has traveled (1/60)540 or 9 miles
so AB = 9
h/9 = tan34°
h = 9tan34° = 6.07 miles
height of plane = 6.07 miles
distance covered in 1 minute = 9 miles
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