Exercise_1.docx

Instruction: Answer ALL the questions

1.

P(62°S, 15°E), Q(62°S, 75°E), R and V are four points on the surface of the earth. PR is the diameter of the parallel of latitude 62°S. (a)

State the location of R,

(b)

Calculate the shortest distance, in nautical miles, from P to R measured along the surface of the earth. [3 marks]

(c)

Calculate the distance, in nautical miles, from P due east to Q measured along the common parallel of latitude. [3 marks]

(d)

An aeroplane took off from Q and flew due north to V. The average speed of the 1 flight is 630 knots and the time taken was 7 hours. Calculate 2 (i) the distance, in nautical miles, from Q to V measured along the meridian [2 marks]

(ii)

[2 marks]

the latitude of V.

[2 marks]

1

Answer: 1.

V

62°

R(62°S, 165°W)

P(62°S, 15°E)

Q(62°S, 75°E) (a)

R(62°S, 165°W)

(b)

(180 − 124°) × 60′ = 3360 n.m.

(c)

(75° − 15°) × 60′ × cos 62° = 1690.1 n.m.

(d)

(i)

Distance = Time × Speed = 7.5 hours × 630 knots = 4725 n.m.

(ii)

𝜃 × 60′ = 4725 𝜃 = 78.75° Latitude = 78.75° − 62° = 16.75° = 16.75°N

2