The ship is moving at a speed of  km/h.

The ship is travelling parallel to shoreline and at noon the ship passes the light house.

At noon, the ship is  km from shore.

(a)

Find .

Observe the above figure.

In the beginning, the ship is  distance away from the light house .

At noon time, the distance between ship and light house is  km.

 is the distance traveled by the ship.

From Pythagorean theorem,

The function of distance traveled by the ship is .

(b)

Find .

 is the distance as a function of time.

Let  be the time taken by the ship to travel a distance of .

The speed of the ship is  km/h.

Speed-distance relation:

.

Therefore .

.

The distance traveled by the ship since noon time is .

(c)

Find .

                                              ( Since  )

.

It represents the distance between the ship and the light house as the function of time elapsed since noon.

(a) .

(b) .

(c) , it represents the distance between the ship and the light house as the function of time elapsed since noon.