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NAME
DATE
8-4
PERIOD
Practice
Trigonometry
Find sin L, cos L, tan L, sin M, cos M, and tan M.
Express each ratio as a fraction and as a decimal to the
nearest hundredth.
1. ℓ = 15, m = 36, n= 39
N
m
L
M
n
3 , n = 24
2. ℓ = 12, m = 12 √#
5
sin L = −
≈ 0.38;
13
12
≈ 0.92;
cos L = −
13
5
≈ 0.42;
tan L = −
12
1
sin L = −
= 0.50;
2
%
√3
cos L = − ≈
2
1
tan L = − or
%
√3
0.87;
%
√3
3
− ≈ 0.58;
%
√3
2
1
cos M = − = 0.50;
2
12
sin M = −
≈ 0.92;
sin M = − ≈ 0.87;
12
≈ 2.4
tan M = −
tan M = √%
3 ≈ 1.73
13
5
≈ 0.38;
cos M = −
13
5
Find x. Round to the nearest hundredth.
64°
4.
5.
29
11
29°
32
x
41°
x
25.36
22.55
x
24.15
Use a calculator to find the measure of ∠B to the nearest tenth.
7.
6. #
8.
"
8
$
25
$
#
39
14
"
7
"
$
30
#
60.3°
33.6°
9. GEOGRAPHY Diego used a theodolite to map a region of land for his
class in geomorphology. To determine the elevation of a vertical rock
formation, he measured the distance from the base of the formation to
his position and the angle between the ground and the line of sight to the
top of the formation. The distance was 43 meters and the angle was
36°. What is the height of the formation to the nearest meter?
79.7°
36°
43m
31 m
Chapter 8
27
Glencoe Geometry
Lesson 8-4
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
3.