   # Two ships are sailing in the sea on the two sides of a lighthouse...........What is the distance between the two ships ?

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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.
What is the distance between the two ships ? posted Dec 16, 2015

Let height of light house=h=100m
distance of ships from light house are d1 and d2 with 30deg & 45 deg respectively.
Distance apart=d=d1+d2
d=[h/tan 30]+[h/tan45]
d=[100/(1/sqrt3)]+[100/1]
d=100*sqrt3+100
d=173+100=273
ans is 273 meters answer Dec 16, 2015

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