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A board 64cm long and 4cm high is incli...

A board 64cm long and 4cm high is inclined so that the long side of the board makes a `30^(@)` angle with the ground. The distance from the highest point on the board to the ground can be expressed in the form `a+b sqrt(c)` ,where a,b,c are positive integers and `(c)` is not divisible by the square of any prime. Find a+b+c

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