During the layout of a site, it is determined that the slope distance between point A...

During the layout of a site, it is determined that the slope distance between point A and point B is

200.00’ at slope angle of 15 degrees. What is the actual horizontal distance (H) that was indicated on the plane from point A to B?

A. 181.26’ B. 193.19’ C. 199.44’ D. 207.06’

Expert Solution

Lets consider this situation as a Triangle having -

Slope distance between point A and point B - 200` (will be considered as hypotenuse of triangle)
Slope angle given - 15 deg. ( will be considered as Θ )
Actual horizontal distance on the plane from point A to B (H) - ? Lets consider this side as the adjacent side of triangle.

So as per geometrical formula -

CosΘ = Adjacent side of triangle (H) / Hypotenuse side of triangle

Therefore,

Cos 15 = H / 200`

H = (200`) x Cos 15

H = 193.19`

Summary - Actual horizontal distance on the plane from point A to B (H) - 193.19`

Ally Wells answered 1 year ago

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