As observed from
the top of a 75 m high lighthouse from the sea-level, the angles of depression
of two ships are `30^@`
and `45^@`
. If one ship is
exactly behind the other on the same side of the lighthouse, find the
distance between the two ships.
Text Solution
Verified by Experts
For correct fig In `DeltaADC, tan 45^(@) = (75)/(CD)` `1 = (75)/(CD) rArr CD = 75` In `DeltaADB, tan 30^(@) = (75)/(BD)` `" "(1)/(sqrt3)= (75)/(BD)` `rArr BD = 75 sqrt3` `rArr` Distance between two ships = BC = `75(sqrt3-1)`m `= 54.9` m
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