Mathematics

Problem

A ship at sea observes the top of a lighthouse at an angle of elevation of

30^\circ

. After sailing

200\,\text{m}

directly towards the lighthouse, the angle of elevation becomes

60^\circ

. The height of the lighthouse is a)

150\,\text{m}

100\sqrt{3}\,\text{m}

\frac{200}{\sqrt{3}}\,\text{m}

50\sqrt{3}\,\text{m}