Question

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)

Answer 1

116.28m

Step-by-step 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*(20m)/(26steps) =116.92m`

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

`cos(\alpha )=(x)/(h)\\cos(6\°)= (x)/(116.92)\\x=116.92cos(6)=116.28m`