$\"\"$

Oserve the figure,

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

Find distance between the speedboat and the port :

Consider upper part of the diagram:

By usinq pythogarean theorem,

$\"\"$ (Equation of the first right angle)

$\"\"$ (Substitute $\"\"$ and $\"\"$ )

$\"\"$ (Simplify)

$\"\"$

The distance between the port and the sailboat :

Consider lower part of the diagram:

By usinq pythogarean theorem,

$\"\"$ (Equation of the first right angle)

$\"\"$ (Substitute $\"\"$ and $\"\"$ )

$\"\"$ (Simplify)

$\"\"$ .

Total distance of sailboat and the speedboat is $\"\"$ .

Therefore,the distance between the sailboat and the speedboat is $\"\"$ .

The distance between the sailboat and the speedboat is $\"\"$ .

Option (G) is the right choice.

$\"\"$

Option (G) is the right choice.