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A flagstaff stands at the center of a rectangular field whose diagonal is 1200m, and subtends angles  150and 450  at the mid points of the sides of the field. The height of the flagstaff is

a
200m
b
3002+3m
c
3002−3m
d
400m

detailed solution

Correct option is C

Let OP be the flagstaff of height ‘h’ standing at the center O of the rectangular field ABCD subtending angles  150and 450  at E the F, the mid points of the sides AD and DC of the field .Then  OE=hcot150=h2+3 and OF=hcot450=h⇒EF=h12+2+32=2h2+3⇒1200=AC=2EF=4h2+3⇒h=3002+3=3002−3

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