Report

1 The following diagram shows a triangle with sides 5 cm, 7 cm, 8 cm. B 5 A a) Find the measure of angle BAC 7 8 diagram not to scale C 60° b) Find the area of the triangle. 17.3 cm2 2 Find the length of side BC. B A 105° 12m 48° 25.5 m C 3 Find the length of side DF. 15.7 inches F 37 inches D 25° 35 inches E 4 Find the measure of JLK. J 18 ° 29.3° K 12 yards L 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. AC = 70m b) Calculate the size of ABC ABC 44.4° 60° C 30 m 50 m B D 30° A 6 R Find the measure of PRQ. 8 12 Q 63.1° 11 P 7 Find the area of quadrilateral ABCD: 113 cm2 8 Determine the area of: 7.3km 38° 9.4 km 21.1 km2 9 The diagram shows the plan of a playground C with dimensions as shown. Calculate the length BC 89.7 m 48 m 117º A B 57 m 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? 204 m A 20° 80m 23° B 11 F 85° E 38° Find the length of side EF. 6 dm 8.17 dm D 12 The diagram shows the plan of a playground C with dimensions as shown. Calculate the area of triangle ABC 1220 m2 (3 s.f.) 48 m 117º A B 57 m In the diagram, triangle ABC is isosceles. 13 AB = AC, CB = 15 cm and ACB is 23°. A Find the length of AB. 8.15 cm 23º C 15 cm B 14 A triangle has sides of length 7cm and 13cm and its area is 42cm2. Find the size of its included angle. 67.4° 15 In triangle ABC, find the measure of angle B given that A = 46, a = 7 cm, and b = 12 cm No solution 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. C rope 6m B 5° 8m A 9.57 (3 s.f.) 17 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. C rope 6m B 5° 8m A 38.6° 18 In triangle ABC, find the length of c given that b = 45 m, A = 56 and B = 72 c = 37.3 m 19 In triangle ABC, find the measure of angle B given that a = 14, A = 41, and b = 18 B = 57.5 or 122 An aircraft takes off from an airport and flies 400 km 20 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. 160° 40° a) 458 km b) 111° Homework • Review Set 10A, pg349 – #10, 12, 13 • Review Set 10B, pg351 – #8, 9, 10 • Review Set 10C, pg352 – #1, 8-12