Download Name Date Class Trigonometry with Right Triangles Module Quiz: B

Name _______________________________________ Date __________________ Class __________________
MODULE
13
Trigonometry with Right Triangles
Module Quiz: B
Use the figure for 1–2.
7. Are sin and cos reciprocals of each
other? Explain.
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8. Given that cos 42  0.743, what is the
sine of the complementary angle?
1. Name the side opposite A.
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2. Name the side adjacent to A.
Use the figure for 9–10.
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Use the figure for 3–5.
9. What is LK rounded to the nearest
hundredth? Show your work.
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State each of the following:
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3. What is tan D ?
10. What is JK rounded to the nearest
hundredth? Show your work.
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4. What is sin D ?
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5. What is cos D ?
Use the figure for 11–12.
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A right triangle is shown.
11. What is m M ?
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6. If mH  68, what is GI? Show your
work.
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12. What is mO? Explain how you got your
answer.
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Original content Copyright © by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor.
63
Name _______________________________________ Date __________________ Class _________________
MODULE
13
Trigonometry with Right Triangles
Module Quiz: B
PQR is shown.
17. What is the area of
nearest tenth?
VWX to the
13. What are the missing side lengths in
PQR ? Explain.
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18. Solve the triangle by finding the lengths
of all the sides and the measures of all
the angles. Show your reasoning.
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TSU is shown.
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14. What are the missing side lengths in
TSU? Explain. Keep your answer in
simplified radical form.
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19. Find the side lengths to the nearest
hundredth and the angle measures to
the nearest degree.
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15. What is a Pythagorean Triple?
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16. State whether the following are
Pythagorean Triples or multiples of
Pythagorean Triples.
A 6, 8, 10
Yes
No
B 14, 48, 50
Yes
No
C 25, 25, 100
Yes
No
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Original content Copyright © by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor.
64
Name _______________________________________ Date __________________ Class _________________

5
so,
5.83
mF  59. Then mE  90  59  31.
To find DF, 52  (DF)2  (5.83)2 or DF is
about 2.998 ft.
18. To find mF , sin x 
MODULE 13 Trigonometry with
Right Triangles
Module Quiz 13: B
19. AB  BC, so mB  90
AB  4, BC  8,
1. BC
AC  (4  ( 4))2  (4  8)2  80  8.9,
2. AB
3.
7
4
4.
7
8.1
5.
4
8.1
 BC 
8
mA  tan1 
 tan1    63

 AB 
4
A and C are complementary, so
mC  90  63  27.
GI
; 2 tan 68  GI; GI  4.95
2
7.No; Sin of an angle is equal to the opposite
side divided by the hypotenuse. Cosine of
an angle is equal to the adjacent side
divided by the hypotenuse. Both are
divided by the hypotenuse so they are not
reciprocals of each other.
8. 0.743
LK
9. sin 20 
; 8.5(sin 20)  LK; LK  2.91
8.5
2.91
10. tan 20 
; JK(tan 20)  2.91; JK  8
JK
5
11. m M  sin1   ; mM  27
 11
6. tan 68 
12. The sum of the interior angles of a triangle
are 180, so mO  180  90  27 
63.
13. In a 45-45-90 triangle, the hypotenuse is
2 times each leg. So, 12  QR 2 and
QR  8.49.


14. TU  2 8 3  16 3; SU 

3 8 3

 8(3)  24
15. A Pythagorean triple is a set of 3 positive
integers such that a2  b2  c2.
16. A Yes B Yes C No
17. A 
1
 4.17.2 sin 47  10.79 m2.
2
Original content Copyright © by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor.
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