GEN 06: Scale

 

Q1. A straight line drawn on a chart measures 4.63 cm and represents 150 NM. The chart scale is:

1:6 000 000 – 150 NM = 27,780,000 cm. Scale = 27,780,000 / 4.63 = 6,000,000.

Q2. The total length of the 53°N parallel of latitude on a direct Mercator chart is 133 cm. What is the approximate scale of the chart at latitude 30°S?

1:26 000 000 – On Mercator, chart length of all parallels is equal (133 cm). Earth distance at 30S = 36060cos(30) = 18,706 NM = 3.46×10^9 cm. Scale = 133/3.46×10^9 = 1:26,000,000.

Q3. A chart has the scale 1: 1 000 000. From A to B on the chart measures 1.5 inches. The distance from A to B in NM is :

20.6 NM – 1.5 in = 3.81 cm. Earth Dist = 3.81 * 10^6 cm = 38.1 km. 38.1 / 1.852 = 20.57 NM.

Q4. On a chart, the distance along a meridian between latitudes 45°N and 46°N is 6 cm. The scale of the chart is approximately:

1:1 850 000 – 1° Lat = 60 NM = 11,112,000 cm. Scale = 11,112,000 / 6 = 1,852,000.

Q5. Approximately how many nautical miles are comparable to 12 cm on a map with a scale of 1: 2 000 000?

130 – 12 cm * 2,000,000 = 24,000,000 cm. 24,000,000 / 185,200 = 129.6 NM.

Q6. Assume a Mercator chart. The distance between positions A and B, located on the same parallel and 10° longitude apart, is 6 cm. The scale at the parallel is:

1:18 500 000 – Assuming the parallel is the Equator (standard reference or missing data context). 10° = 600 NM = 111,120,000 cm. Scale = 111,120,000 / 6 = 18,520,000.

Q7. At 60° N the scale of a direct Mercator chart is 1: 3 000 000. What is the scale at the equator?

1:6 000 000 – Scale(Lat) = Scale(Eq) * sec(Lat). Scale(Eq) = Scale(60) * cos(60) = (1/3M) * 0.5 = 1/6M.

Q8. On a Lambert chart, the scale at latitude 46N is equal to the scale at latitude 34N. The parallel of origin is:

40N – In a Lambert projection, the scale is symmetrical around the parallel of origin. (46+34)/2 = 40.

Q9. The scale of a polar stereographic chart at the pole is 1: 5 000 000. At 60N the scale will be:

1:4 665 000 – Scale expands away from pole. Factor k = 2/(1+sin60) = 1.0718. 5,000,000 / 1.0718 ≈ 4,665,068.

Q10. The standard parallels of a Lambert’s conical orthomorphic projection are 07°40’N and 38°20’N. The constant of the cone for this chart is:

0.39 – n ≈ sin(Mean Lat). Mean Lat = (7°40′ + 38°20′) / 2 = 46°/2 = 23°. sin(23°) = 0.3907.

Q11. The constant of the cone, on a Lambert chart where the convergence angle between longitudes 010°E and 030°W is 30°, is:

0.75 – n = Conv/dLong. dLong = 10E to 30W = 40°. n = 30/40 = 0.75.

Q12. A straight line drawn on a chart measures 4.63 cm and represents 150 NM. The chart scale is:

1:6 000 000 – Duplicate question.

Q13. A Mercator chart has a scale at the equator = 1 : 2 400 000. What is the scale at latitude 60ºS?

Q14. Approximately how many nautical miles correspond to 12 cm on a map with a scale of 1 : 2 000 000?

Q15. Approximately how many nautical miles correspond to 13 cm on a map with a scale of 1 : 2 000 000?

Q16. Approximately how many nautical miles correspond to 15 cm on a map with a scale of 1 : 2 000 000?

Q17. Approximately how many nautical miles correspond to 15 cm on a map with a scale of 1 : 3 000 000?

Q18. Approximately how many nautical miles correspond to 20 cm on a map with a scale of 1 : 2 000 000?

Q19. Approximately how many nautical miles correspond to 25 cm on a map with a scale of 1 : 3 000 000?

Q20. Approximately how many nautical miles correspond to 7 cm on a map with a scale of 1 : 500 000?

Q21. Approximately how many nautical miles correspond to 9 cm on a map with a scale of 1 : 5 000 000?

Q22. At 47º North the chart distance between meridians 10º apart is 5 inches. The scale of the chart at 47º North approximates?

Q23. At 60º N the scale of a direct Mercator chart is 1 : 3 500 000. What is the scale at the equator?

Q24. At 60º N the scale of a direct Mercator chart is 1 : 4 000 000. What is the scale at the equator?

Q25. Give the scale, as a representative fraction, of the following charts: one inch represents 15.4 kilometres

Q26. Give the scale, as a representative fraction, of the following charts:- 3.5 inches represents 70 kilometres

Q27. Give the scale, as a representative fraction, of the following charts:- five inches represents eight nautical miles

Q28. Give the scale, as a representative fraction, of the following charts:- one centimetre represents 5.4 nautical miles

Q29. Give the scale, as a representative fraction, of the following charts:- One centimetre represents five kilometres

Q30. Given: Chart scale is 1 : 1 850 000. The chart distance between two points is 4 centimetres. Earth distance is approximately?

Q31. Given: Chart scale is 1 : 200 000. The chart distance between two points is 12 centimetres. Earth distance is approximately?

Q32. Given: Chart scale is 1 : 250 000. The chart distance between two points is 4 centimetres. Earth distance is approximately?

Q33. Given: Chart scale is 1 : 5 000 000. The chart distance between two points is 10 centimetres. Earth distance is approximately?

Q34. In a navigation chart a distance of 49 NM is equal to 7 cm. The scale of the chart is approximately?

Q35. In a navigation chart a distance of 55 NM is equal to 14 cm. The scale of the chart is approximately?

Q36. On a chart 14.8 centimetres represents 20°Nautical miles on the ground. Determine the length in inches on this chart which would represent the distance flown by an aircraft in 9 minutes at a ground speed of 185 Knots.

Q37. On a chart 14.8 centimetres represents 20°Nautical miles on the ground. Give the chart scale as a representative fraction

Q38. On a chart 5 centimetres represents 7 nautical miles. Determine the distance in inches on this chart which would represent the distance flown by an aircraft in 5 minutes at a groundspeed of 156 knots.

Q39. On a chart 5 centimetres represents 7 nautical miles. Give the scale of this chart as a representative fraction

Q40. On a chart, one centimetre represents 3.5 kilometres. Give the scale as a representative fraction

Q41. On a chart, one centimetre represents 3.5 kilometres. What is the length in inches on the chart which would represent the distance flown in 4 minutes at a ground speed of 204 kilometres per hour?

Q42. On a Direct Mercator chart at latitude 15ºS, a certain length represents a distance of 120 NM on the earth. The same length on the chart will represent on the earth, at latitude 10°N, a distance of?

Q43. On a Direct Mercator chart at latitude 15ºS, a certain length represents a distance of 130 NM on the earth. The same length on the chart will represent on the earth, at latitude 10°N, a distance of?

Q44. On a Direct Mercator chart at latitude of 45ºN, a certain length represents a distance of 39 NM on the earth. The same length on the chart will represent on the earth, at latitude 30°N, a distance of?

Q45. On a Direct Mercator chart at latitude of 75ºN, a certain length represents a distance of 55 NM on the earth. The same length on the chart will represent on the earth, at latitude 30°N, a distance of?

Q46. On a Direct Mercator chart at latitude of 85ºN, a certain length represents a distance of 60 NM on the earth. The same length on the chart will represent on the earth, at latitude 30°N, a distance of?

596  Answer

Q47. On a Direct Mercator distance of 90 NM on ‘ chart at latitude of 45°N, a certain length represents a the earth. The same length on the chart will represent on the earth, at latitude 30°N, a distance of?

Q48. On a direct Mercator projection, at latitude 45′ North, a certain length represents 70 NM. At latitude 30º North, the same length represents approximately?

Q49. On a direct Mercator projection, at latitude 45º North, a certain length represents 79 NM. At latitude 30º North, the same length represents approximately?

Q50. On a direct Mercator projection, at latitude 45º North, a certain length represents 98 NM. At latitude 30° North, the same length represents approximately?

Q51. On a direct Mercator projection, the distance measured between two meridians -. spaced 5º apart at latitude 60°N is 12 cm. The scale of this chart at latitude 60°N is approximately?

Q52. On a Mercator chart, at latitude 60°N, the distance measured betweed W002º and E008º is 20 cm. The scale of this chart at latitude 60°N is approximately?

Q53. The representative fraction of a chart is given as 1: 1000000. What is the chart length of a line representing an Earth distance of 50 kilometres on this chart? give your answer in both centimetres and inches

Q54. The representative fraction of a chart is given as 1: 500000 (Half Mil Chart). how many (1) centimetres and (2) inches would represent 30 kilometres on the ground?

Q55. The representative fraction of a chart is given as 1: 500000 (Half Mil Chart). how many (1) inches and (2) centimetres would represent 30°Nautical miles on the ground?

Q56. The total length of the 45ºN parallel of latitude on a direct Mercator chart is 85 cm. What is the approximate scale of the chart at latitude 60°N?

Q57. The total length of the 53ºN parallel of latitude on a direct Mercator chart is 133 cm. What is the approximate scale of the chart at latitude 30°S?

Q58. The total length of the 70°N parallel of latitude on a direct Mercator chart is 95 cm. What is the approximate scale of the chart at latitude 40°S?

Q59. The total length of the 75ºN parallel of latitude on a direct Mercator chart is 140 cm. What is the approximate scale of the chart at latitude 30ºS?

Q60. What is the chart distance between longitudes 165ºE and 175ºW on a direct Mercator chart with a scale of 1 : 25 000 000 at the equator?

Q61. What is the chart distance between longitudes 170°E and 170°W on a direct Mercator chart with a scale of 1 : 20 000 000 at the equator?

Q62. What is the chart distance between longitudes 179ºE and 175ºW on a direct Mercator chart with a scale of 1 : 15 000 000 at the equator?

Q63. What is the chart distance between longitudes 179ºE and 175ºW on a direct Mercator chart with a scale of 1 : 2 000 000 at the equator?

Q64. What is the chart distance between longitudes 179ºE and 175ºW on a direct Mercator chart with a scale of 1 : 5 000 000 at the equator?

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