After the plane has traveled, how high is it? How far horizontally is it, from its initial position?

Question

A large passenger aircraft accelerates down the runway for a distance of 3,000m before leaving the ground.  It then climbs at a steady 3.0° angle.  After the plane has traveled 3,000m along this new trajectory,

a) How high is it?

b) How far horizontally is it, from its initial position?

Answer 1

Hi Kayla,

 

To get the height, you can take sin (3) (in degrees) and then multiply by 3000

 

To get the horizontal distance, take cos (3) (in degrees) and then multiply by 3000

 

Good luck to you.

 

 

 

Yohan Chu

 

For part b, is it before take-off or before leaving the ground?