Airplane Over a Hill

Airplane Over a Hill#

As an airplane is taking off, it flies over a hill inclined \({{params.theta}}^{\circ}\) upwards. The plane is inclined \({{params.alpha}}^{\circ}\) 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 \({{params.Vshadow}} \ \rm{km/h}\) 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.