Two points P and Q are on the ground and on the opposite sides of a pole. Distance between P and foot of pole is 52 m less than that between Q and foot of pole. If the angles of elevation of the top of the pole, as observed from P and Q is 60° and 30 °, respectively, then what is the height of the pole?

1
75 m
2
\(52\sqrt 3 \;m\)
3
78 m
4
\(26\sqrt 3 \;m\)

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