1. 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. 2
Find the length of side BC.
105°
48° C A B
12m
25.5 m

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

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

5. 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°

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

7. 7
Find the area of quadrilateral ABCD:
113 cm2

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

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

10. 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. 11
Find the length of side EF.
6 dm
85° F E D
38°
8.17 dm

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

16. 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. 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. 18
In triangle ABC, find the length of c given that b = 45 m, A = 56 and B = 72
c = 37.3 m

19. 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. 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

21. 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