Trigonometric Ratios Worksheet Page 12

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A
2.  Determine sin , cos , and tan . Then, 
determine the measure of angle .
Unless specified otherwise, all angles are
a) 
between 0° and 360°. Round all lengths to
the nearest tenth of a unit and all angle
5
3
measures to the nearest degree.
1.  Determine the length of x.
4
a) 
b) 
7
x
4
32°
65
15 m
b) 
c) 
23 m
x
7
58
41°
3
c) 
d) 
5
x
28 km
62°
2
29
e) 
d) 
15 m
13
6
x
133
58°
f) 
12
e) 
15
369
x
22 m
43°
3.  Sketch each triangle and solve if possible.
f  )  
8 km
54°
a) In △ABC, ∠A = 90�, �, ,  ∠B = 36�, and
�, and
, and 
b = 15.3 m
b) In △DEF, ∠D = 90�, �, ,  ∠E = 48�, and
�, and
, and 
x
e = 9.6 cm
c) In △JKL, ∠J = 90�, �, ,  ∠K = 62�, and
�, and
, and  
j = 7.2 km
d) In △PQR, ∠P = 53�, �, ,  ∠Q = 37�, and
�, and
, and 
p = 13.5 m
12  MHR  •  Chapter 1  978-0-07-090893-2
  Printer Pdf

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