MCR3UI
1.
33
a
4.8
M
101°
c)
P
k
r
Q
L
Find the measure of the indicated angle, to the nearest tenth of a degree.
R
b)
A
73°
1.9
31.6
C
B
Ɵ
3.8
P
Ɵ
2.7
38.4
Q
3.
Solve each triangle. Round answers to the nearest tenth if necessary.
a) In ∆ABC, ∠A = 84°, ∠C = 40°, a = 5.6 m
b) In ∆PQR, ∠R = 28.5°, p = 10.4 cm, r = 6.3 cm
c) In ∆LMN, ∠M = 62°, l = 16.9 m, n = 15.1 m
d) In ∆FGH, f = 12.6 m, g = 8.5 m h = 6.3 m
4.
Find the length of the indicated side, to the nearest tenth.
a)
b) E
10 m
35° 125°
x
H
31.2°
x
9.5 m
50.1°
F
5.
93.1°
8.7 m
G
Find the measure of the indicated angle, to the nearest tenth of a degree.
7.9 m 101.1°
9.5 m
9.8 m
12.3 m
8.3
12.8
41.1°
C
2.
a)
R
Find the length of the indicated side, to the nearest tenth.
a)
b)
A
K
24.2°
B
27°
112°
Ɵ
Y
6.
To determine the height of the Peace Tower on Parliament Hill in Ottawa,
measurements were taken from a baseline AB. It was found that
AB = 50 m, ∠XAY = 42.6°, ∠XAB = 60°, and ∠ABX = 81.65°.
Calculate the height of the Peace Tower, to the nearest metre.
Y
X
X
B
A
7.
Solve the triangle. Round each side length
to the nearest unit and each angle to the
nearest degree.
13 cm
Q
P
8.
Solve the triangle. Round each side length to
the nearest tenth of a unit and each angle to
the nearest tenth of a degree.
W
B
B
8 cm
X
B
63.5°
9.6 m
Y
B
R
B
Solve the given triangle. Round answers to the nearest tenth, if necessary.
In ∆XYZ, ∠X = 90°, x = 9.5 cm, z = 4.2 cm
10. Find RS, to the nearest tenth of a centimetre.
P
11. Find FH, to the nearest tenth of a metre.
D
10.4 m
F
G
81.4°
8.7 m
11.5 m
57.8°
Q
29.6°
9.8 cm R
S
E
H
Answers
1a) 2.4 1b) 73.1 1c) 16.5 2a) 51.9° 2b) 110.2° 3a) ∠B=56°, b=4.7 m, c=3.6 m
3d) ∠F=115.9°, ∠G=37.4°, ∠H=26.7° 4a) 13.7 m 4b) 6.9 m 5) 74.2° 6) 73 m
9) ∠Y=63.8°, ∠Z=26.2°, y=8.5 cm 10) 27.4 m 11) 13.5 m
9.
3b) ∠P=52.0°, ∠Q=99.5°, q=13.0 cm 3c) ∠L=64.3°, ∠N=53.7°, m=16.6 m
7) ∠P=32°, ∠R=58°, q=15 cm 8) ∠X=26.5°, x=4.3 cm, y=8.6 cm