An engineer is undertaking some reconnaissance by pacing on a construction site. the engineer takes 26 steps per 20m, the ground he is walking on has a vertical slope angle of 6. the engineer takes 152 steps. how far has he travelled horizontally (in enter numeric answer to 2 decimal places, no alpha characters)

Thus the distance traveled horizontally is 116.28 m

Solution:

As per the question:

Distance covered in 26 steps = 20 m

Thus

Distance covered in one step, step size =

Total steps taken = 152

Now, the distance covered in 152 steps =

The distance covered in 152 steps, D =

The above distances are on a slope of above horizontal.

Thus the horizontal component of this distance is given by:

where

= horizontal component of distance, D

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