\"\"

\

(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.