The figure is below. Initially when in rough water the boat is in position A). The difference in path of incoming waves is zero (or an integer number of wavelengths). Finally the boat is in position B. The difference in path of incoming wave is half wavelength. The length of...

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The figure is below. Initially when in rough water the boat is in position A). The difference in path of incoming waves is zero (or an integer number of wavelengths). Finally the boat is in position B. The difference in path of incoming wave is half wavelength. The length of path of incoming waves in this case is

`p_1 =sqrt(L^2 +(l-d/2)^2) = sqrt(69^2 +(31-27/2)^2) =71.185 m`

`p_2 =sqrt(L^2 +(l+d/2)^2) =sqrt(69^2 +(31+27/2)^2) =82.105 m`

As said above the difference is path is half wavelength.

`P_2-P_1= lambda/2`

`lambda = 2*(P_2-P_1) =2*(82.105-71.185) =21.84 m`

**Answer: The wavelength of ocean waves is 21.84 m**