FOR 274 Assignment 3 [20 points] Name: This assignment should be completed and handed at the start of lecture on Friday 16th September. 1. Convert the following bearings to azimuths: a. N35 W b. S22 E c. N18 E d. S73 W 2. Convert the magnetic bearings in (2) to true bearings using the declination for Moscow. 3. Convert the magnetic bearings in (2) to backsights using the declination for Moscow. 4. Assume you have a dot grid with 24 dots per sq inch. What would the acreage represented by each dot at map scales of a. 230 ft per inch b. 35 chains per inch c. 6 miles per inch 5. Refer to Map Resource 1 (from the website) and answer the following questions (assuming the given map scale is accurate): a. What are the bearings and horizontal distances (in feet) between Sites A and B? b. What are the bearings and horizontal distances (in meters) between Sites A and C? c. Calcualte the bearings and distances you would use to triangulate to the small lake beneath the word "Big" at the top of Big Meadow Creek from both Sites A and D. d. Calculate the elevation difference and horizontal distance between the small lake shown under the word Big at the top of Big Meadow Creek.
e. Calculate the elevation difference and horizontal distance between Site A and Beulah Cemetary f. What is the Bearing from the Lake to the Cemetery? g. What is the bearing from the Cemetery to the S of Spring Hill Reservoir? h. Describe what feature can be found at the following location: N ½ NE ¼ S.30 T40N R3W 6. What is the equation for the cross-sectional area of a tree (in square feet) when the diameter (in inches) is known? 7. What is the area of the following parcels of land that were surveyed by the U.S. Public Land Survey: a. NW1/4, SW1/4, S. 27, T43N, R4W, BM b. NW1/4, S. 28, T43N, R4W, BM c. S1/2, SW1/4, S. 14, T43N, R4W, BM d. NW1/4, SW1/4, SE1/4, S. 31, T43N, R4W, BM e. S. 26, T43N, R4W, BM f. E1/2, S1/2, S. 2, T43N, R4W, BM 8. To the nearest 10 feet, how far is Spokane located from the principal meridian? (T25N, R43E, WM)
9. Describe how you can use contours to identify the direction of flow of a river. 10. Refer to the figure on the right and calculate the total height to the nearest foot from each of the following trees: a. You are standing at a horizontal distance of 100 feet. Your percentage scale reads 50 to A and -20 to C. b. You are standing at a horizontal distance of 50 feet. Your percentage scale reads 40 to A and 10 to C. c. You are standing at a horizontal distance of 66 feet. Your 1/66 scale to A reads + 50 and to C reads 10. d. You are standing at a horizontal distance of 200 feet. Your percentage scale reads 50 to A and -20 to C. e. You are standing at a horizontal distance of 100 feet. Your percentage scale reads 30 to A and 10 to C. 11. Refer to the figure on the right and calculate the total height to the nearest foot from each of the following trees: a. AB is measured as 140 feet and BC as 35 feet. b. AB is measured as 170 feet and BC is 85 feet. c. AB is measured as 20 meters and BC is 30 meters. d. AB is measured as 170 feet and BC is 20 meters.
12. Use trigonometry to calculate the total height to the nearest foot from each of the following trees: a. You are standing at a horizontal distance of 100 feet. Your sighting to base = -5. Your sighting to top = +45. b. You are standing at a horizontal distance of 66 feet. Your sighting to base = +10. Your sighting to top = +60. c. You are standing at a horizontal distance of 30m. Your sighting to base = -3. Your sighting to top =+58. 13. Determine the quadratic mean diameter (in both inches and centimeters) for the following set of DBH values (in inches): 6, 11, 9, 15, 7, 8, 12, 6, 18, 23, 4, 8, 10 14. For the following tree total heights, crown base heights, and crown diameters, calculate the live crown percent, crown surface area (ft 2 ), and volume (ft 3 ), assume the crown is a cone: a. Height=75 ft; CBH=12 ft; Diameter= 14 b. Height=60 ft; CBH=4 ft; Diameter= 8 c. Height=110 ft; CBH=32 ft; Diameter= 22 15. What crown class classifications would you give for each of the following trees? Explain your assumptions:
Challenge Problem In the figure below we need to calculate distances to equip pullies and skylines to aid in harvesting. We have measured the height of tree AB as 42 feet, the distance BC is spanned by a skyline of 26 feet, and the height of tree AC is 37 feet. We also know that tree AC is standing upright. If you make the assumption that tree CD is leaning at the same slope as tree AB to the horizontal and that the distance (in feet) between A and D is 60 feet, then what is the height of tree DC? C B A D