13b Applications of Trigonometry (Modified) - Mathematics(HKCEE M.C 18 Applications of Trigonometry(Modified(1997Q13 Sine Law Cosine Law In the figure

13b Applications of Trigonometry (Modified) -...

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Mathematics Mathematics (HKCEE (HKCEE M.C.) M.C.) 18 Applications of Trigonometry (Modified) 18 Applications of Trigonometry (Modified) (1997Q13) Sine Law / Cosine Law In the figure, find correct to the nearest degree. A. 78 B. 91 C. 102 D. 114 E. 125 (1997Q15) Area of Triangle In the figure, the area of ABC is 18. Find ABC correct to the nearest degree. A. 30 B. 44 C. 46 D. 60 E. 69 (1997Q41) 3D Problems In the figure, ABCD is a rectangle inclined at an angle of 45 to the horizontal plane BCEF . Find the inclination of AC to the horizontal plane correct to the nearest degree. A. 27 B. 30 C. 35 D. 45 E. 55 Mathematics / HKCEE M.C. / 18 Applications of Trigonometry (Modified) / P.1 A B 10 5 C 5 7 4 45 A D F E B C 1 cm 1 cm
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(1997Q42) Sine Law / Cosine Law In the figure, CD = A. sin sin sin r . B. sin cos sin r . C. sin sin sin r . D. sin sin cos r . E. sin sin r (1997Q48) Area of Triangle / Sector In the figure, OXY is a sector with centre O . If Z is the mid-point of YO , find area of OXZ : area of sector OXY . A. 1 : 2 B. 2 : 3 C. 2 : 3 D. 3 : 2 E. 3 3 : 2 (1998Q18) Bearing In the figure, OAB is an equilateral triangle. Find the bearing of B from A . A. 10 B. 80 C. 170 D. 260 E. 350 Mathematics / HKCEE M.C. / 18 Applications of Trigonometry (Modified) / P.2 E O N 50 A B D C A B r X Z O 30 Y
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(1998Q23) Area of Sector In the figure, OABC is a sector. Find the area of the shaded region. A. ( 2) cm 2 B. (2 4) cm 2 C. (4 8) cm 2 D. (8 8) cm 2 E. (8 16) cm 2 (1998Q25) Sine Law / Cosine Law In the figure, find x correct to 3 significant figures. A. 48.2 B. 55.1 C. 58.4 D. 67.5 E. 73.4 (1998Q26) Sine Law / Cosine Law In the figure, PQRS is a trapezium. Find x correct to 3 significant figures. A. 3.01 B. 5.57 C. 5.77 D. 6.00 E. 9.54 Mathematics / HKCEE M.C. / 18 Applications of Trigonometry (Modified) / P.3 8 cm 9 cm 7 cm x 10 cm 5 cm P Q R S 60 6 cm x cm 8 cm O A B C
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(1998Q27) Sine Law / Cosine Law In the figure, PQ and RS are two vertical poles standing on the horizontal ground. The angle of elevation of R from P is 20 and the angle of depression of S from P is 40 . If RS = 5 m, then PR = A. 70 sin 40 sin 5 m . B. 60 sin 50 sin 5 m . C. 50 sin 60 sin 5 m . D. 40 sin 70 sin 5 m . E. 60 sin 50 sin 5 m . (1998Q46-Modified) Area of Triangle / Sector In the figure, ABC is a semicircle. Find the area of the shaded region. A. 6 cm 2 B. 15 cm 2 C. (6 9 3 ) cm 2 D. (6 + 9 3 ) cm 2 E. (12 9 3 ) cm 2 Mathematics / HKCEE M.C. / 18 Applications of Trigonometry (Modified) / P.4 P Q R S 30 A B C 12 cm
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(1998Q48) 3D Problems The figure shows a right pyramid with square base ABCD . Let be the angle between the planes VAB and VCD . Find sin 2 . A. 2 1 B. 2 3 C. 3 1 D. 5 1 E.
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