A ship steaming at a speed of \( 15 \mathrm{~km} \). per hour towards a harbour \( A \) was obse...

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A ship steaming at a speed of \( 15 \mathrm{~km} \). per hour towards a harbour \( A \) was observed from a station \( B, 10 \mathrm{~km} \), due west of \( A \), to lie \( 42^{\circ} \mathrm{N} \) of \( E \).
If the ship reached the harbour after three-quarters of an hour, find its distance from \( B \) when first observed.
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