<h3><em>The distance from the lighthouse to the boat will be given by:
</em></h3><h3><em>tan θ=opposite/adjacent
</em></h3><h3><em>θ=angle of depression=23
</em></h3><h3><em>opposite= height of the lighthouse
</em></h3><h3><em>adjacent=distance from the boat to the bottom of the light house
</em></h3><h3><em>hence
</em></h3><h3><em>tan 23=210/a
</em></h3><h3><em>thus solving for a we obtain:
</em></h3><h3><em>a=210/tan23
</em></h3><h3><em>hence
</em></h3><h3><em>a=494.73 ft</em></h3><h3><em>HOPE IT HELPS !!!</em></h3>
