Answer:
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 = [tex]\frac{20}{26}[/tex]
Total steps taken = 152
Now, the distance covered in 152 steps = [tex]one step size\times 152[/tex]
The distance covered in 152 steps, D = [tex]\frac{20}{26}\times 152 = 116.92 m[/tex]
The above distances are on a slope of [tex]6^{\circ}[/tex] above horizontal.
Thus the horizontal component of this distance is given by:
[tex]d_{H} = Dcos6^{\circ}[/tex]
where
[tex]d_{H}[/tex] = horizontal component of distance, D
[tex]d_{H} = 116.92cos6^{\circ} = 116.28 m[/tex]
