Two town P and Q are on the parallel of latitude 46° N .the longitude of P is 130°W and that of town Q is 103°W.a third town R also on latitude 46°N on longitude 23°E.calculate

(A).the length of the parallel of latitude 46°N to the nearest 100km
(B).the distance between Q and R measure along the parallel of latitude to the nearest 10km(take π=3.142and radius of the Earth =6400km)

3 answers

A. using a planar section through the Earth from pole to pole
... construct a right triangle using the center of the Earth, the equatorial plane, and the line of 46ºN
... the hypotenuse is the radius of the Earth from the center to 46ºN
... the side lying in the equatorial plane is the radius of the 46ºN parallel
... the length of the parallel is 2π times the radius

B. Q and R are 126º apart on the 360º length of the 46ºN parallel
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