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1 The following diagram shows a triangle with sides 5 cm, 7 cm, 8 cm. b) Find the area of the triangle. 17.3 cm 2 diagram not to scale a) Find the measure of angle BAC A B C 57 8 60°

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2 105° 48° C A B 12m Find the length of side BC. 25.5 m

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3 37 inches 25° F E D 35 inches Find the length of side DF. 15.7 inches

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4 Find the measure of JLK. 19 yards J L K 18 ° 12 yards 29.3°

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5 The figure shows two adjacent triangular fields ABC and ACD where AD = 30 m, CD = 80 m, BC = 50m. ADC = 60° and BAC = 30° a)Calculate the length AC. b)Calculate the size of ABC 50 m A B C D 80 m 30 m 30° 60° AC = 70m ABC 44.4 °

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6 12 Q P R 11 8 Find the measure of PRQ. 63.1°

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7 Find the area of quadrilateral ABCD: 113 cm 2

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8 Determine the area of: 7.3km 9.4 km 38° 21.1 km 2

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9 The diagram shows the plan of a playground with dimensions as shown. Calculate the length BC 89.7 m

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10 From point A, the angle of elevation to the top of a tall building is 20°. On walking 80 m towards the building the angle of elevation is now 23°. How tall is the building? 23°20° B A 80m 204 m

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11 6 dm 85° F E D 38° Find the length of side EF. 8.17 dm

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12 The diagram shows the plan of a playground with dimensions as shown. Calculate the area of triangle ABC 1220 m 2 (3 s.f.)

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13 In the diagram, triangle ABC is isosceles. AB = AC, CB = 15 cm and ACB is 23°. Find the length of AB. A CB 23º 15 cm 8.15 cm

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14 A triangle has sides of length 7cm and 13cm and its area is 42cm 2. Find the size of its included angle. 67.4°

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15 In triangle ABC, find the measure of angle B given that A = 46, a = 7 cm, and b = 12 cm No solution

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16 The following diagram shows the side view of a tent. The side of the tent AC is 6 m high. The ground AB slopes upwards from the bottom of the tent at point A, at an angle of 5° from the horizontal. The tent is attached to the ground by a rope at point B, a distance of 8 m from its base. Calculate the length of the rope, BC. 9.57 (3 s.f.)

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17 38.6° The following diagram shows the side view of a tent. The side of the tent AC is 6 m high. The ground AB slopes upwards from the bottom of the tent at point A, at an angle of 5° from the horizontal. The tent is attached to the ground by a rope at point B, a distance of 8 m from its base. Calculate the angle CBA that the rope makes with the sloping ground.

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18 In triangle ABC, find the length of c given that b = 45 m, A = 56 and B = 72 c = 37.3 m

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19 In triangle ABC, find the measure of angle B given that a = 14, A = 41, and b = 18 B = 57.5 or 122

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20 An aircraft takes off from an airport and flies 400 km in the direction 040°. It then changes course and flies in a direction 160° for 500 km. a)How far away is the aircraft from the airport? b)Find the bearing of the aircraft from its starting point. 40° 160° 400 500 a)458 km b)111°

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Homework Review Set 10A, pg349 –#10, 12, 13 Review Set 10B, pg351 –#8, 9, 10 Review Set 10C, pg352 –#1, 8-12

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