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Homework Help: mechanics (calculating plane speed and climb angle

Posted by royston on Saturday, November 10, 2012 at 8:44am.

Two radar stations A and B, are separated by the distance a = 500 m, track the plane C by recording the angles α and β at 1-second intervals. If three successive readings
are
t (s) 9 10 11
α 54.80◦ 54.06◦ 53.34◦
β 65.59◦ 64.59◦ 63.62◦
calculate the speed v of the plane and the climb angle γ at t = 10 s.
The coordinates of the plane can be shown to be,

x = a*((tan β)/(tan β − tan α))

y = a*((tan α tan β)/(tan β − tan α))

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