Problem (1)

A TSI is set up 5.41' over point Q whose elevation is 745.39. The following readings are taken:

Point Horizontal
angle
Vertical
angle
Slope
distance
101 0°00'00" 4°24'10" 145.25'
102 39°56'15" -06°00'25" 89.32'
103 79°05'45" -02°58'30" 118.95'

The reflector height in each case was 5.64'. The instrument and reflector heights were measured with the same cloth tape.

What are the horizontal distances to and elevations of the observed points? Compute values to 0.01'.

Self Study: Trig Leveling Solution

 

Problem (2)

A TSI is set up over the SW corner of a property. The TSI height is 5.73' above the corner, measured with a fiberglass tape. The elevation of the top nut on a fire hydrant (FH) across the street is 827.43'.

From the TSI, the following readings are taken

Point Reflector
Height1
Slope
distance
 Horizontal
angle
Zenith
angle
FH 5.00 84.39' 0°00'00" 95°30'45"
NW 6.25 194.48' 44°51'55" 87°05'35"
NE 6.25 240.68' 80°56'30" 85°48'05"
SE 7.50 142.02' 134°51'35" 92°23'50"

1Measured with the same fiberglass tape.

What are the elevations of the four property corners? Compute to 0.01' to minimize rounding error.

Self Study: Trig Leveling Solution

 

Problem 3

The diagram below represents a portion of a three-wire leveling circuit running from point BMR to point D to point M. Numbers on the diagram are the top, middle, and bottom wire readings for each sight. The elevation of BMR is 1245.36' and the instrument used has a stadia multiplier of 100.

Set up and complete the field notes for the circuit portion.

 

Self Study: Three-wire Leveling Solution

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