A man observes that when he moves up a distance `c` metres on a slope, the angle of depression of a point on the horizontal plane from the base of the slope is `30^0,` and when he moves up further a distance `c` metres, the angle of depression of that point is `45^0dot` The angle of inclination of the slope with the horizontal is.

Explanation

By m-n theorem

`(c+c)cot(theta-30)=(cot15-c cot30)`

`cot(theta-30)=(sin(30-15))/(2sin15sin30)`

`cot(theta-30)=1/2*1/(sinn30)=cot45`

`theta-30=45`

`theta=75^@`.