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