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

## Answer This Question

## Related Questions

- Math - At an airport, a flight controller is in a tower 45m above the ground. ...
- Math (Pre-Calc) - An airplane is flying east at a constant altitude of 28,000 ...
- trigonometry - Two stations A and B are 2,000m apart. When an airplane was ...
- algebra - a landing airplane, moving in a straight line , passes over two points...
- math - an airplane is flying at a constant altitude of 28000 meters. when first ...
- Physics/trig - During takeoff, an airplane climbs with a speed of 300 m/s at an ...
- Plane Trigometry - You observe a plane approaching overhead and assume that its ...
- trigonometry ASAP! - an airplane is seen from an observation point on the ground...
- precalc - When an airplane leaves the runway, its angle of elevation is 18&#...
- Calculus - An airplane flies at an altitude of 5 miles toward a point directly ...

More Related Questions