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Veseljchak [2.6K]

3 years ago

11

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)

1 answer:

ikadub [295]3 years ago

4 0

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:

$152 steps*\frac{20m}{26steps} =116.92m$

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

$cos(\alpha )=\frac{x}{h}\\cos(6\°)= \frac{x}{116.92}\\x=116.92cos(6)=116.28m$

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