Two ships are sailing in the sea on the two sides of a lighthouse. The angle of elevation of the top of the lighthouse is observed from the ships are 30º and 45º respectively. If the lighthouse is 100 m high, the distance between the two ships is:

A. 173 m B. 200 m
C. 273 m D. 300 m

• tan 45=100/y, where y is the distance of 2nd ship from lighthouse
  y=100m
  tan30=100/(100+x)
  x=73
  hence x+y=173
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