Oserve the figure :

A speedboat and a sailboat take off from the same port.

Find distance between the speedboat and the sailport :

Consider upper part of the diagram :

Let be the distance from speedport to port.

By usinq Pythagorean theorem,

             (Equation of the first right angle)

           (Substitute and )

                  (Simplify)

The distance between the port and the sailboat :

Consider lower part of the diagram :

Let be the distance from speedport to port.

By usinq pythogarean theorem,

            (Equation of the first right angle)

            (Substitute and )

                    (Simplify)

.

The total distance between sailboat and the speedboat is .

Therefore, the distance between the sailboat and the speedboat is .

Option (G) is the correct choice.

Option (G) is the right choice.