A plane is flying with an airspeed of 235 miles per hour wit

A plane is flying with an airspeed of 235 miles per hour, with a heading of 265.3^o. The wind currents are a constant 41.6 miles per hour in the direction 254^o. Find the ground speed and true course of the plane, with a detailed diagram.

Solution:

Vp = 235mi/h @ 265.3 deg.,CCW. = Velocity of the plane.

Vw = 41.6mi/h @ 254 deg., CCW. = Velocity of the wind.

X = hor. = 235cos265.3 + 41.6cos254,
X = -19.26 + (-11.47) = -30.73mi/h.

Y = ver. = 235sin265.3 + 41.6sin254,
Y = -234.21 + (-39.99) = -274.2mi/h.

tanA = Y/X = (-274.2)/(-30.73) = 8.92,

A = 83.60 deg,

R = X/cosA = -30.73/cos83.60 = 276.85mi/h = Magnatude.

A plane is flying with an airspeed of 235 miles per hour, with a heading of 265.3o. The wind currents are a constant 41.6 miles per hour in the direction 254o.

A plane is flying with an airspeed of 235 miles per hour wit

Solution

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