# 1 The following diagram shows a triangle with sides 5 cm, 7 cm, 8 cm.

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1 The following diagram shows a triangle with sides 5 cm, 7 cm, 8 cm. B a) Find the measure of angle BAC 5 7 8 60° A C b) Find the area of the triangle. diagram not to scale 17.3 cm2

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

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

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

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

63.1° 6 Find the measure of PRQ. 8 12 11 R Q P
Algebra 2, 11.2 practice B, number 24

7 Find the area of quadrilateral ABCD: 113 cm2

8 Determine the area of: 21.1 km2 7.3km 38° 9.4 km

9 The diagram shows the plan of a playground with dimensions as shown. Calculate the length BC 89.7 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? 23° 20° B A 80m 204 m

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

12 The diagram shows the plan of a playground with dimensions as shown. Calculate the area of triangle ABC 1220 m2 (3 s.f.)

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

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. 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. 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

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. How far away is the aircraft from the airport? Find the bearing of the aircraft from its starting point. 458 km 111° 40° 160° 400 500

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

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