4. It is required to compute the elevation of an inaccessible point C (HC) on a chimney stack. Station A (Elevation HA = 1298.88 ft + 0.006 ft) was occupied by a total station and the following measurements were taken: Slope distance (S) to a prism mounted on a rod vertically underneath point C = 235ft=0.05ft. Vertical angle to the prism (O) 3° 15' 26" + 3" Vertical angle to point C (9) = 8° 56' 12" + 3" Total station height (hi) = 5.63 ft + 0.03 ft Prism height (hp) = 5.24 ft + 0.03 ft Compute the elevation of the chimney e, the partial derivatives of the elevation with respect to each of the quantities involved in the elevation computation, and the chimney's estimated error (standard deviation).
4. It is required to compute the elevation of an inaccessible point C (HC) on a chimney stack. Station A (Elevation HA = 1298.88 ft + 0.006 ft) was occupied by a total station and the following measurements were taken: Slope distance (S) to a prism mounted on a rod vertically underneath point C = 235ft=0.05ft. Vertical angle to the prism (O) 3° 15' 26" + 3" Vertical angle to point C (9) = 8° 56' 12" + 3" Total station height (hi) = 5.63 ft + 0.03 ft Prism height (hp) = 5.24 ft + 0.03 ft Compute the elevation of the chimney e, the partial derivatives of the elevation with respect to each of the quantities involved in the elevation computation, and the chimney's estimated error (standard deviation).
Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE:
1. Give the measures of the complement and the supplement of an angle measuring 35°.
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Transcribed Image Text:4. It is required to compute the elevation of an inaccessible point C (HC) on a chimney stack.
Station A (Elevation HA = 1298.88 ft + 0.006 ft) was occupied by a total station and the
following measurements were taken:
Slope distance (S) to a prism mounted on a rod vertically underneath point C = 235ft+0.05ft.
Vertical angle to the prism (0) = 3° 15' 26" + 3"
Vertical angle to point C (9) = 8° 56' 12" + 3"
Total station height (hi) = 5.63 ft + 0.03 ft
Prism height (hp) = 5.24 ft + 0.03 ft
Compute the elevation of the chimney c, the partial derivatives of the elevation with respect to
each of the quantities involved in the elevation computation, and the chimney's estimated error
(standard deviation).
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