Airplane Over a Hill

Contents

Airplane Over a Hill#

As an airplane is taking off, it flies over a hill inclined ${p a r a m s . t h e t a}^{\circ}$ upwards. The plane is inclined ${p a r a m s . a l p h a}^{\circ}$ up from the horizon.

A plane is flying alpha degrees from the horizon. It casts a shadow on a hill inclined theta degrees upwards.

Part 1#

If the shadow moves at $p a r a m s . V s h a d o w k m / h$ up the hill, what is the plane’s speed? The sun is directly above the plane.

Answer Section#

Please enter in a numeric value in km/h.

Attribution#

Problem is licensed under the CC-BY-NC-SA 4.0 license.
The Creative Commons 4.0 license requiring attribution-BY, non-commercial-NC, and share-alike-SA license.