6) A Red Cross relief plane was sent to Nambia by a special UN envoy, ordered by

Question

6) A Red Cross relief plane was sent to Nambia by a special UN envoy, ordered by President Trump. Fortunately, the Red Cross pilot knew that there is no country called "Namibia", and that they should be fiying to Namibia. The relief plane was flying at a constant speed of VO-500 km/hr at an altitude of 5000 km. On crossing the border into Namibia, the pilot was instructed to drop a relief package of food, and supplies, at a target point T, on the ground in the plane crews forward field of view. At what angle of sight Theta-S, measured from the vertical, should the plane crew release the package so that it lands on target? Choose the closest answer from those provided. Select one: a. Theta-S 32.8 degrees, or b, Theta-S . 41.6 degrees. c.Theta-S-45 degrees; o d. Theta-S-26.4 degrees out a typographical error on problem #6. The aircraft's altitude should be 5 km = 5000 m

Explanation / Answer

theta-s = 41.6 deg

explanation:

The time the packet will take to reach the ground:

t = sqrt(2Y/g) = sqrt(2 x 5000/9.8) = 31.94 s

Horizontal distance covered in this time is:

X = v t

v = 500 km/h = 138.89 m/s

X = 138.89 x 31.94 = 4436.1466 m

Using trigonometry

theta = tan^-1 (5000/4436.1466) = -48.42 deg

from the vertical:

theta-s = 90 - 48.42 = 41.58 = 41.6 deg

Hence, theta-s = 41.6 deg

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