(a)
\Two ships are spotted from the top of a foot lighthouse.
The first ship is at a angle of depression from the lighthouse.
The second ship is at a angle of depression from the lighthouse.
Consider the distance between first ship to lighthoue as .
Consider the distance between second ship to lighthoue as .
Draw a diagram using above information.
\(b)
\Find the distance between the two ships.
\From the smaller right angle triangle.
\Trigonometric function : .
From the larger right angle triangle.
\Trigonometric function : .
Substitute in the above equation.
The distance between two ships is feet.
(a)
\(b) The distance between two ships is feet.