Question

A sailor, standing on the deck of a ship, just sees the light beam from a lighthouse on the shore. If the height of the sailor's eye and the light beam at the lighthouse, above the sea level, are \(9\) m and \(25\) m respectively, what is the approximate distance between the sailor and the lighthouse?

• A. \(27\) km
• B. \(31\) km
• C. \(35\) km
• D. \(39\) km

Hint:

For intervisibility between two elevated points, \[ \boxed{ D=3.86(\sqrt{h_1}+\sqrt{h_2}) } \] where \(h_1\) and \(h_2\) are in metres and \(D\) is in kilometres.

Answer 1

The Correct Option is B