If person travelled 12 metres on hill and have risen in height by 3 metres then the gradient of this problem is 14.5°.
What is gradient?
Gradient is the degree of inclination or the rate of ascent or descent.It is an inclined surface, grade, ramp.
How to find gradient?
The hill and the road through which person travelled forms a right angled triangle. In a right angled triangle sin a is equal to Perpendicular/Hypotenuse where a is angle opposite to perpendicular.
In this we have to apply the above rule:
sin a=3/12
sin a=1/4
sin a=0.25
a= [tex]sin^{-1}[/tex]0.25
a=14.5
Hence the gradient of the problem is 14.5°.
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