A skier slides down a ski slope with an acceleration 2.2 m/s^2 directed down the slope. The coefficient of kinetic friction between the skis and the slope is 0.24. What is the angle of the slope �with the ground?

1 answer

friction force up slope = .24 m g cos A
gravity down slope = m g sin A

m (2.2) = m (9.81)(sin A - .24 cos A)

sin A - .24 cos A = .224
well I can make a table
A, left side
0, -.24
5, .083
10, .17
15, .254

so between 10 and 15 deg
13, .22
13 degrees is very close
try 13.2
13.2 , .224 close enough