the speed of a point A due to the rotational of the earth is twice that of a point B.if A is on latitude 22 degree north,calculate the latitude of B.

1 answer

a radius from the center of the earth to a line of latitude
... is the hypotenuse of a triangle formed by the plane of the equator
... and a line perpendicular to the plane, that goes to the latitude line

R is the radius of the earth ... r is the radius of the latitude circle
... Θ is the angle of latitude
... cos(Θ) = r / R ... r = R cos(Θ)

rA = 2 rB ... R cos(22º) = 2 R cos(?)