Answer:the boat will travel about 20.62 miles
Step-by-step explanation:
Since the boat travelled from dock A to dock B without passing and stopping at dock C along the way. The number of miles travelled would be the hypotenuse of the right angle triangle shown. To determine the number of miles travelled, we would apply Pythagoras theorem which is expressed as
Hypotenuse^2 = opposite side^2 + adjacent side^2
Looking at the triangle,
Opposite side = 13 miles
Adjacent side = 16 miles
Hypotenuse^2 = 13^2 + 16^2 = 425
Hypotenuse = √425 = 20.62 miles