Posted by **Emma** on Wednesday, March 28, 2012 at 5:20pm.

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?

- Geom./Trig. -
**Reiny**, Wednesday, March 28, 2012 at 5:55pm
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

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