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  • A man sees the top of a flag post at the angle of elevation 60 degree from a point "a" meter away from the base of the post. He sees the top at the angle of elevation at 30 degree from the distance "b" from the base. Show that the height of the post ie "h

A man sees the top of a flag post at the angle of elevation 60 degree from a point "a" meter away from the base of the post. He sees the top at the angle of elevation at 30 degree from the distance "b" from the base. Show that the height of the post ie "h"=?ab ???

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eginarrayl extlet height of the pole is h.\ extProve h=sqrtab.\ extGiven extfrom a meter form base of pole, top of the flag is at 60^circ extand from b meter it is at 30^circ. \ extusing tangent rule we get,\ an60^circ=frachaRightarrowfracha=sqrt3 left(1 ight)\ an30^circ=frachbRightarrowfrachb=frac1sqrt3 left(2 ight)\ extFrom left(1 ight) imesleft(2 ight),\ frach^2ab=sqrt3 imesfrac1sqrt3=1Rightarrow h^2=abRightarrow h=sqrtabendarray

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Deependra Verma

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