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QUESTION 14 (3 marks) Determine the area of the triangle shown. C Not drawn to scale
QUESTION 8 Determine the size of angle 4 in the triangle. C 9.9 8.8 A 11.3 B Not drawn to scale (A) 48.5° (B) 614° (C) 118.6° (D) 131.5°
QUESTION 18 (4 marks) The diagram shows the quadrilateral ABCD. B 4.1 cm 7.6 cm Not drawn to scale D Determine the perimeter of the quadrilateral.
QUESTION 15 (4 marks) In the isosceles triangle ABC angle C is 120° and side a is 4 cm. a) Draw the triangle indicating all given information. [1 mark] b) Calculate the area of the triangle in cm?. (Give your answer in simplest form.) [3 marks]
QUESTION 16 (4 marks) In the diagram DC represents a 60 metre vertical tower. A and B are two points in the same horizontal plane as the foot C of the tower. The angle above the horizontal from A to D is 28° and the angle above the horizontal from B to D is 35°. 35° Not to scale ‘B The bearing of C from A is 050°T and the bearing of C from B is 300°T. Determine the distance between A and B to the nearest metre.
QUESTION 7 A circle with radius 7 and internal angle 6 has a shaded segment as shown. = If 4 1s in radians the area of the shaded segment is B) —(0-sin(0)) 0 2[5 (D) %(9—1)
QUESTION 9 Determine the length of side AB in triangle ABC. A Not to scale (A) 22.13 (B) 14.44 (C) 9.97 (D) 7.82 @ 12
QUESTION 15 (7 marks) A hiker begins her journey at a youth hostel (/) and walks for 8 km on a bearing of 052°T to her lunch stop (L). She then walks on a bearing of 210°T for 5.2 km until she reaches a campsite (C). Determine the direction she would need to walk in a straight line to return directly to the youth hostel.
QUESTION 9 An equilateral triangle has side lengths of 9 m. The area of the triangle is (A) —m ® Ll © LB D) =`
QUESTION 6 The side lengths of a triangle are in the ratio 2:3:4. The smallest angle in this triangle is (A) 0.51° (B) 0.81° (C) 28.96° (D) 46.57°
QUESTION 14 (5 marks) Solve for the two possible triangles using the information below: A=25°%a=12and c = 27
QUESTION 16 (4 marks) Radar station R picks up signals from two ships. Ship A is stationary and on a bearing 041°T from R and is 65 kilometres away. Ship B is on a bearing 295°T from R and is 53 kilometres away. Determine the time (in hours) for ship B to travel to ship A if ship B can travel at 30 kilometres per hour.
QUESTION 14 (7 marks) A fence divides a paddock into two triangular sections as shown. 900 m 540 m Not to scale 500 m a) Determine the length of the fence. b) Calculate the area of triangular section A. c) Determine the total area of the paddock. [1 mark] [1 mark] [5 marks]
QUESTION 18 (5 marks) A company makes windows using glass that has a mass of 5.6 kg per square metre. A customer orders an unusual window in a partial parabolic shape as shown. Not to scale 8m Determine the mass of the window.
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