Question

8.14 Using the data for the link traverse listed below, compute: (a) the angular misclosure and its estimated error. (b) the misclosure of the traverse. (c) the estimated misclosure error. (d) the 95% error in the traverse misclosure. Distance observations From To Distance (m) ? (m) W X 185.608 ±0.0032 X Y 106.821 ±0.0035 Y Z 250.981 ±0.0028 Angle observations Back-sight Occupied Fore-sight Angle ? (") W X Y 86°27'45" ±2.5 X Y Z 199°29'46" ±3.2 Control azimuths From To Azimuth ? (") W X 132°26'15" ±9" Y Z 58°23'56" ±8" Control stations Station Easting (m) Northing (m) W 10,000.000 5000.000 Z 10,417.798 5089.427

          8.14 Using the data for the link traverse listed below, compute:
(a) the angular misclosure and its estimated error.
(b) the misclosure of the traverse.
(c) the estimated misclosure error.
(d) the 95% error in the traverse misclosure.

Distance observations
From To Distance (m) ? (m)
W X 185.608 ±0.0032
X Y 106.821 ±0.0035
Y Z 250.981 ±0.0028

Angle observations
Back-sight Occupied Fore-sight Angle ? (")
W X Y 86°27'45" ±2.5
X Y Z 199°29'46" ±3.2

Control azimuths
From To Azimuth ? (")
W X 132°26'15" ±9"
Y Z 58°23'56" ±8"

Control stations
Station Easting (m) Northing (m)
W 10,000.000 5000.000
Z 10,417.798 5089.427
        
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8.14 Using the data for the link traverse listed below, compute:
(a) the angular misclosure and its estimated error.
(b) the misclosure of the traverse.
(c) the estimated misclosure error.
(d) the 95% error in the traverse misclosure.

Distance observations
From To Distance (m) ? (m)
W X 185.608 ±0.0032
X Y 106.821 ±0.0035
Y Z 250.981 ±0.0028

Angle observations
Back-sight Occupied Fore-sight Angle ? (")
W X Y 86°27'45" ±2.5
X Y Z 199°29'46" ±3.2

Control azimuths
From To Azimuth ? (")
W X 132°26'15" ±9"
Y Z 58°23'56" ±8"

Control stations
Station Easting (m) Northing (m)
W 10,000.000 5000.000
Z 10,417.798 5089.427

Added by Todd M.

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Calculus: Early Transcendentals
Calculus: Early Transcendentals
James Stewart 8th Edition
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8.14 Using the data for the link traverse listed below, compute: (a) the angular misclosure and its estimated error. (b) the misclosure of the traverse. (c) the estimated misclosure error. (d) the 95% error in the traverse misclosure. Distance observations From To Distance (m) σ (m) W X 185.608 ±0.0032 X Y 106.821 ±0.0035 Y Z 250.981 ±0.0028 Angle observations Back-sight Occupied Fore-sight Angle σ (") W X Y 86°27'45" ±2.5 X Y Z 199°29'46" ±3.2 Control azimuths From To Azimuth σ (") W X 132°26'15" ±9" Y Z 58°23'56" ±8" Control stations Station Easting (m) Northing (m) W 10,000.000 5000.000 Z 10,417.798 5089.427
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Transcript

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00:01 Hello everyone here the given problem is in this problem we have the table here we have given the value of t and the value of t in this we suppose cubic spose cubic polynomial for above data is v of t is equal to a node a 0 plus a 1 t plus a 2 t plus a 2 t square plus a 3 t cube now for t is equal to 0 for t is equal to 0 v of 0 this is equal to here we put the value of t is 0 then you get a 0 plus a 1 into 0 plus a 2 into 0 square plus a 3 into 0 cube okay now this is equal to a node v of 0 this is equal to a node v of 0 this is is equal to a node.
01:27 This is our first equation.
01:31 Now, for t is equal to 15.
01:38 So the value of v of 15, this is equal to a0 plus a1 into here we put the values of t, so t is 15, plus a2t square here.
01:53 This is 15 square plus a3 into 15 cube...
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