Given;
Height of the lighthouse = 75 m = ‘h’ m = AB
Angle of depression of ship 1, α = 30°
Angle of depression of bottom of the tall building, β = 45°
The above data is represented in form of figure as shown
Let distance between ships be ‘x’ m = CD
If in right angle triangle one of the included angle is θ
Therefore, the distance from the ships is 75(√3 + 1) m.