# A slope distance is observed as 4807.68 ± 0.018 ft. The zenith angle is observed as 95°27’46” ± 6.5”. What are the horizontal distance and its estimated error?

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A slope distance is observed as 4807.68 ± 0.018 ft. The zenith angle is observed as 95°27’46” ± 6.5”. What are the horizontal distance and its estimated error?

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Step 1

Given:

Slope distance = 4807.68 ± 0.018 ft

Zenith angle = 95o27’46” ± 65”

Given details shown in the figure below:

Step 2

Angle z ranges vary 95o26’41” to 95o28’51”.

Slope distance vary from 4807.662 ft to 4807.698 ft.

Step 3

: Calculating horizontal distance as H.

H = L Sin (z)

L = 4807.68 ft

Z = 95o27’46&rd...

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