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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 metres)?(only enter numeric answer to 2 decimal places, no alpha characters)

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mateoe1

Answer:

116.28m

Explanation:

First, if you see the diagram below, you notice that the slope is measured in steps, and you need to change it to meters:

[tex]152 steps*\frac{20m}{26steps} =116.92m[/tex]

Then, use the cos function because it can relate the hypotenuse and the adyacent side of the triangle:

[tex]cos(\alpha )=\frac{x}{h}\\cos(6\°)= \frac{x}{116.92}\\x=116.92cos(6)=116.28m[/tex]

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