CIE 272 HOMEWORK #3 Assigned: 23 September 2009 Due: 2 October 2008 1. What is the decimal value of one angular minute? What is the decimal value of one angular second? Based on your answers, how many decimal places should be used and displayed in trigonometric calculations when a precision of (a) one minute, or (b) one second, is expected? 2. Convert the following angles into decimal form. Report each result with an appropriate number of decimal places (see problem 1): a. 38° 44′ b. 198° 57′ c. 86° 2′ 43″ d. 311° 22′ 18″ 3. Convert the following decimal angles into Degrees, Minutes, Seconds. Report each result to the nearest second: a. 209.2350289 b. 26.0018508 c. 110.2509132 d. 88.9860542 4. Points A to E proceed in a counterclockwise direction around a five-sided polygon. The adjusted interior angles are as follows: A = 123° 12′, B = 92° 46′, C = 185° 37′, D = 33° 56′, E = 104° 29′. If the bearing of side AB is S 47° 44′ W, what are the bearings of all five sides? 5. In Problem 4, what are the azimuths of all sides? 6. Proceeding in a clockwise direction around a six-sided polygon, the adjusted interior angles are as follows: A = 70° 19′, B = 238° 38′, C = 50° 51′, D = 69° 23′, E = 215° 07′, F = 75° 42′. If the bearing of side AB is due east, what are the bearings of all six sides? 7. In Problem 6, what are the azimuths of all the sides? 8. The four sides of a residential property have the following bearings: AB: N 66° 34′ E BC: S 31° 07′ E CD: S 81° 55′ W DA: N 18° 15′ W Find the interior angles at each of the four corners of the property – A, B, C, and D. 9. A survey was done in Tucson, AZ in 1915 when the magnetic declination was 13° 40′ E. The magnetic bearings of the boundaries were measured at that time as N 42 o 31′ W, S 28° 56′ W, S 53° 20′ E, and N 26° 55′ E. Calculate the true (geodetic) bearings of these boundaries. Chris E. Johnson CIE 272