The hull speed, y, in nautical miles per hour of a sailboat can be found using the formula: y = 1.35√xwhere x is the length in feet of the boat at the surface of the water. Find the length of the boat if it has a speed of 10 nautical miles per hour.

Answer 1

To find the length of the boat, we need to substitute the given speed (10 nautical miles per hour) into the equation and solve for x.

y = 1.35√x

10 = 1.35√x

Divide both sides of the equation by 1.35:

10/1.35 = √x

7.407 = √x

Square both sides of the equation:

(7.407)^2 = x

54.833649 = x

Therefore, the length of the boat is approximately 54.833649 feet.