i need to find out how much work does gravity do on the jogger.?

Question

a hill is 109.2 m long and makes an angle of 12.99 degrees with the horizontal. as a 54.5 kg jogger runs up the hill, how much work does gravity do on the jogger?

Answer 1

The work done by gravity is the same as the change in the gravitational potential energy of the jogger, mgh. Find h using trig ( 109.2 m sin 12.99 degrees) and multiply by mg.