Correct Answer - Option 2 : 1 in 44.84 (Falling)
Concept:
Reduced level:
The height of any point with respect to mean sea level is known as reduced level.
Gradient:
Gradient describes the slope or steepness of the line joining two points. The gradient of a line is determined by the ratio of the vertical changes to horizontal changes.
Gradient = \(\tan {\rm{\theta }} = \frac{h}{{L}}\)
Where, h = Change in the elevation of two points
L = Horizontal distance between two points.
Calculation:
Given, Distance between AB (L)= 150 m
R.L. of point ‘A’ = 50 m and R.L. of point ‘B’ = 46.655 m
The difference in the elevation of AB (h)= 50 - 46.655 = 3.345 m
Gradient = \(\tan {\rm{\theta }} = \frac{h}{{L}}\)
Gradient = \( \frac{3.345}{{150}}\)
Gradient = \( \frac{1}{{44.843}}\)
The elevation of point B is less than point A. So the gradient of AB is falling.
Gradient = \( \frac{1}{{44.843}}\)(Falling).
