Maths Quest Maths A Year 12 for Queensland Chapter 5 Navigation WorkSHEET 5.1 3
WorkSHEET 5.1 Navigation Name: ______
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1 / The diagram below represents the Earth, with centre P.(a) State the position of D, I and H.
(b) PI is a radius of the Earth. Name another 3radii.
(c) Give the magnitude of:
(i) angle NPF
(ii) angle NPG
(iii) angle DPF
(iv) angle NPB. / (a) D 40°N, 60°W
I 30°S, 20°E
H 20°S, 50°E
(b) PH, PC, PB etc.
(c) (i) 90°
(ii) 70°
(iii) 40°
(iv) 130° / 8
2 / Using the diagram in question 1, find the shortest distance in nautical miles from:
(a) N to F
(b) N to D
(c) D to F
(d) D to E. /
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3 / Find the shortest distance from the South Pole to:
(a) (20°S, 150°E)
(b) (10°N, 85°W)
(c) the equator. /
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4 / Find the shortest distance from (42°N, 110°E) to:
(a) (15°N, 110°E)
(b) (18°S, 110°E). /
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5 / Convert to minutes:
(a) 1°
(b) 8°
(c) 25°
(d) 3.5°
(e) 18°37΄
(f) 36°24.5΄. /
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6 / Find the unknowns.
/
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7 / A plane flies over the point (27°18΄S, 153°E) and exactly 3 minutes later, over the point (27°50΄S, 153°E). Find the speed of the plane in knots. / / 3
8 / A vessel departs (28°12΄S, 154°E) at 6.30am and sails north to (24°40΄S, 154°E) averaging 8.5 knots. Find the ETA. / 6
Approximate ETA is almost 7.30 am the following day.
9 / Convert the true course to a compass course for the given variation.
(a) 106°T, variation 10° east
(b) 194°15΄T, variation 8°25΄ west. /
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10 / The bearing of a tower from a cliff is 143°. What is the expected bearing of the cliff from the tower? / / 3