In: Advanced Math
1) An observer fails to check the bubble of a level and it is off two divisions on a 100-m sight. If the sensitivity of the bubble is 20-sec, what error would there be in the reading? 2 ) The following azimuths are from the north: 329°20’, 180°35’, 48°32’, 170°30’, 145°25’, 319°35’, 350°45’, 95°49’, 11°30’, 235°45’. Express these directions as (a) azimuth from the south, (b) back azimuths, (c) bearings. 8) 6.7 The following azimuths are reckoned from the north: FE = 4°25’, ED = 90°15’, DC = 271°32’, CB = 320°21’, and BA = 190°45’. What are the corresponding bearings? What are the deflections angles between consecutive lines? 9) 6.8 The interior angles of a five-sided closed polygon ABCDE are as follows: A, 120°24’; B, 80°15’; C, 132°24’; D, 142°20’. The angle E is not measured. Compute the angle at E, assuming the given values to be correct.’ 10) 6.11 In an old survey made when the declination was 4°15’E, the magnetic bearing of a given line was N35°15’E. The declination in same locality is now 1°10’W. What are the true bearing and the present magnetic bearing that would be used in retracing the line? 11) The following bearings taken on a closed compass and fill up the table. Lines Bearings (deg-min) Azimuth N Deflection Angles Angle to the Right Interior Angles AB S 37-30 E ? 83°45’ 163°45’ ? BC S 43-30 W ? ? ? ? CD N 73-30 W ? ? ? ? DE N 11-45 E ? ? ? ? EF ? ? ? ? ? 12) ILLUSTRATE THE TRAVERSE AND SHOW THE SOLUTIONS. Transform graphically into a figure with sides containing unknown quantities are made adjoining. Determine the unknown quantities. Course Length Bearing AB 492.98 N 05°30’ E BC UNKNOWN S 12°17’ E CD 845.85 N 46°03’ E DE 852.18 S 67°24’ E EF 1210.50 UNKNOWN FA 661.26 N 55°27’ W AB BC CD DE EF FA 13) ILLUSTRATE THE TRAVERSE AND SHOW THE SOLUTIONS. Transform graphically into a figure with sides containing unknown quantities are made adjoining. Determine the unknown quantities. Course Length Bearing AB 249.18 S 19°32’ E BC UNKNOWN N 74°09’ E CD 445.10 S 36°40’ E DE 668.27 S 51°14’ W EF 866.79 N 73°25’ W FG UNKNOWN N 26°00’ W GA 560.15 N 64°32’ E 14) Given Below is the technical description of lot 2061, Cebu Cadastre. Line Length (m) Azimuth from South 1-2 22.04 S 32°17’ W 2-3 10.00 N 36°35’ W 3-4 5.00 N 15°47’ W 4-1 19.95 N 73°07’ E 1. Find the area of the lot by DMD method. 2. Find the area of the lot by DPD method. 15) Compute for the following and show the tabulated solutions: (Notes: Use 2 decimal places for all corrections and lengths, degrees and minutes for angles) Line Length (m) Azimuth from South AB 1020.87 168°35’ BC 1117.26 263°30’ CD 660.08 304°25’ DE 495.85 5°30’ EF 850.62 46°15’ FA 855.45 112°30’ 1. Using Compass Rule, solve for adjusted latitudes, departures, distances and bearings for all the traverse lines 2. Using Transit Rule, solve for adjusted latitudes, departures, distances and bearings for all the traverse lines 3. Using coordinate method and using the result of balancing traverse in # 2 (transit rule) with station A (N,E) coordinates = (20000, 20000), solve for the coordinates (N, E) of all traverse stations and the area of the traverse 4. Using DMD method and using the result of balancing traverse in # 2 (transit rule), solve for area of the traverse 5. Using DPD method and using the result of balancing traverse in # 2 (transit rule), solve for area of the traverse 16) At regular interval of 5 meters along line AB, the measured offset distances from the line AB to the edge of the stream are: 6.5, 7.3, 12.1, 12.7, 14.5, 16.0, 18.6, 18.5, 16.4, 15.9, 14.7, 13.5, 12.75, 12.5, 9.7 and 2.0. What is the area between line AB and the stream?