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ANSWER
The approximate solution is

EXPLANATION
The point of intersection of the two lines is the solution of the linear systems represented by the graph.
From the graph we can determine that each box is 2 units.
From the graph, when we start at O and count two boxes to the right and half box down, we obtain the point of intersection of the two lines to be

Note that since each box is two units, half way between the boxes gives one unit.
For this case what you have is the same as a rectangle triangle where you have as data the degree of inclination of the hypotenuse with respect to the base and the height of the triangle.
We have to find the value of the hypotenuse.
For this we use the following trigonometric relationship:
senx = C.O / h
Where
x: angle
C.O: opposite leg
h: hypotenuse.
Substituting the values we have:
sen (12) = 100 / h
We cleared h:
h = 100 / sin (12)
h = 480.97 m
Answer:
Galileo should walk 480.97 m up the inclined plane