Answer:
14523.55J
Explanation:
The work done by the jogger against gravity is given by the following equation;
[tex]W=mgh.................(1)[/tex]
where m is the mass, g is acceleration due to gravity taken as [tex]9.8m/s^2[/tex] and h is the height of the hill.
Since the length of the hill is 132m and it is inclined at 12 degrees to the horizontal, the height is thus given as follows;
[tex]h=132sin12^o\\h=27.44m[/tex]
Substituting this into equation (1) with all other necessary parameters, we obtain the following;
[tex]W=54*9.8*27.44\\W=14523.55J[/tex]