A theodolite is used to measure the angle to point C in a vertical plane. The fi

Question

A theodolite is used to measure the angle to point C in a vertical plane. The first angle read is 72°14'35" and the angle read with the scope plunged is 287°45'15". What is the correct value of the zenith angle? What is the vertical angle? 11. 12. Repeat problem 11; the first angle is 120°14'30" and the plunged is 239°4550'" an angle is compounded four times (alternate normal and plunged) and the last angle reads 6°02, determine all possible values for the correct horizontal angle. what accuracy must a vertical angle be measured to provide a relative accuracy o 50,000 for a horizontal line where the vertical angle along the slope distance is 20°00' A horizontal distance is to be measured using a zenith angle of 64°00 measured to an accuracy of 20 seconds of arc. What precision does this indicate for the measurement of a horizontal line? 15. The coordinates for Point A, Point B and Point C are 5859.28N, 9331.56E and 8501.95N, 7911.60E and 10,500.00N, 8000.00E respectively. An angle right of 220°31'00" is turned when the backsight is B, the instrument station is C and the foresight is D. Determine the azimuth of the line C to D 16. 17. Using the data in problem 16, determine the azimuth of B to F for an angle right of 10°51'30" when A is the backsight, B is the instrument station, and F is the foresight. Using the data in problem 16, determine the azimuth of A to G for an angle right of 10°51'30" when A is the instrument station, B is the backsight, and G is the foresight 18. The direction of B to A is given as 45 2020". The angle right measured at B from A to C is125 15'20". What is the azimuth of B to C? 19. 20. The direction of B to A is given as 45°2020". The angle right measured at A from B to D is 92 35'10". What is the azimuth of A to D?

Explanation / Answer

Prob.11 Take the average of the two to eliminate the error,

so, the angle = (72'14'35" + (360 - 287'45'15"))/2 = 72'14'40"

Prob. 12

Again take the average, angle = (120'14'30" + (360 - 239'45'50"))/2 = 120'14'20"

Prob.19

Azimuth(BC ) = Azimuth (BA)+Angle(B) = 45'20'20" + 125'15'20" = 170'35'40"

Prob. 20

Direction of B to A is given, the direction of A to B, i.e. Azimuth(AB) = Azimuth(BA)+180

And azimuth(AD) = Azimuth(AB)+angle(A) =

45'20'20" + 180 + 92'35'10" = 317'55'30" (317 degrees 55 minutes 30 seconds)

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