Test Bank for Trigonometry 5th Edition Cynthia Y. Young Chapters 1-8

TEST BANK FOR
b b


Trigonometry, 5th Edition Cynthia Y. Young
b b b b b


Chapter 1-8
b




Chapterb1 RightbTrianglebTrigonometry

1.1 Angles,bDegrees,bandbTriangles
b




1) Specifybthebmeasurebofbthebanglebinbdegreesbwithbab2/5brotationbcounterclockwise,btobthebnearestb
wholebdegree.
A) 144°
B) 216°
C) 59°
D) 281°
Answer:b b A
Diff:b1 Var:b1
QuestionbType:b MultiplebChoicebC
hapter/Section:b Chb01,bSecb01

2) Specifybthebmeasurebofbthebanglebinbdegreesbwithbab4/9brotationbclockwise,btobthebnearestbwholebd
egree.
A) -160°
B) 200°
C) 110°
D) 160°
Answer:b b A
Diff:b2 Var:b1
QuestionbType:b MultiplebChoicebC
hapter/Section:b Chb01,bSecb01

3) Specifybthebmeasurebofbthebanglebinbdegreesbwithbab1/7brotationbclockwise,btobthebnearestbwholebd
egree.
Answer:b b -51°
Diff:b2 Var:b1
QuestionbType:b ShortbAnswerbCha
pter/Section:b Chb01,bSecb01

4) Specifybthebmeasurebofbthebanglebinbdegreesbwithbab2/9brotationbcounterclockwise,btobthebnearestb
wholebdegree.
Answer:b b 80°
Diff:b1 Var:b1
QuestionbType:b ShortbAnswerbCha
pter/Section:b Chb01,bSecb01




1

,5) Findbthebcomplementbofbanbanglebthatbmeasuresb70bdegrees.
A) 25°
B) 110°
C) 160°
D) 20°
Answer:b b D
Diff:b1 Var:b1
QuestionbType:b MultiplebChoicebC
hapter/Section:b Chb01,bSecb01

6) Findbthebcomplementbofbanbanglebthatbmeasuresb65bdegrees.b
Answer:b 25°
Diff:b1 Var:b1
QuestionbType:b ShortbAnswerbCha
pter/Section:b Chb01,bSecb01

7) Findbthebsupplementbofbanbanglebthatbmeasuresb120bdegrees.
A) 300°
B) 67°
C) 60°
D) 210°
Answer:b b C
Diff:b1 Var:b1
QuestionbType:b MultiplebChoicebC
hapter/Section:b Chb01,bSecb01

8) Findbthebsupplementbofbanbanglebthatbmeasuresb14bdegrees.b
Answer:b 166°
Diff:b1 Var:b1
QuestionbType:b ShortbAnswerbCha
pter/Section:b Chb01,bSecb01

9) FindbthebmeasurebofbeachbanglebtobonebdecimalbplacebifbanglebAbmeasuresb(10x)°bandbanglebBb
measuresb(13x)°.




Answer:b b 39.1°,b50.9°
Diff:b2 Var:b1
QuestionbType:b ShortbAnswerbCha
pter/Section:b Chb01,bSecb01




2

,10) FindbthebmeasurebofbeachbanglebtobonebdecimalbplacebifbanglebAbmeasuresb(17x)°bandbanglebBb
measuresb(14x)°.



Answer:b b 98.7°,b81.3°
Diff:b2 Var:b1
QuestionbType:b ShortbAnswerbCha
pter/Section:b Chb01,bSecb01

11) Ifbthebmeasurebofbanglebαb=b108°bandbthebmeasurebofbanglebβb=b2°,bfindbthebmeasurebofbanglebγ.




Answer:b b 70°
Diff:b1 Var:b1
QuestionbType:b ShortbAnswerbCha
pter/Section:b Chb01,bSecb01

12) Ifbthebmeasurebofbanglebαb=b114°bandbthebmeasurebofbanglebβb=b30°bfindbthebmeasurebofbanglebγ.




A) 96°
B) 126°
C) 36°
D) 99°
Answer:b b C
Diff:b2 Var:b1
QuestionbType:b MultiplebChoicebC
hapter/Section:b Chb01,bSecb01




3

,13) Ifbβb=bγbandbαb=b3β,bfindballbthreebangles.




A) 1°,b1°,b178°
B) 25°,b25°,b130°
C) 40°,b40°,b100°
D) 36°,b36°,b108°
Answer:b b D
Diff:b2 Var:b1
QuestionbType:b MultiplebChoicebC
hapter/Section:b Chb01,bSecb01

14) Ifbβb=b6γbandbαb=b13γb,bfindballbthreebangles.




Answer:b b 9°,b54°,b117°
Diff:b3 Var:b1
QuestionbType:b ShortbAnswerbCha
pter/Section:b Chb01,bSecb01

15) Findbtwobsupplementarybanglesbwithbmeasuresb(9x)°bandb(9x)°.bWritebyourbanswerbtoboneb
decimalbplace.
Answer:b b 90°,b90°
Diff:b2 Var:b1
QuestionbType:b ShortbAnswerbCha
pter/Section:b Chb01,bSecb01

16) Ifbdb=b4,bandbeb=b7,bfindbf.bExpressbtheblengthbexactly.




Answer:
Diff:b1 Var:b1
QuestionbType:b ShortbAnswerbCha
pter/Section:b Chb01,bSecb01



4

,17) Ifbdb=b5,bandbeb=b12,bfindb b fb.bExpressbtheblengthbexactly.




Answer:
fb =b13b
Diff:b1 bVar:b1

QuestionbType:b ShortbAnswerbCha
pter/Section:b Chb01,bSecb01

18) Ifbdb=b7,bandbeb=b22,bfindb fb inbthebfollowingbrightbtriangle.bWritebyourbanswerbtobtwobdecimalbpl
aces.




Answer:b b 23.09
Diff:b1 Var:b1
QuestionbType:b ShortbAnswerbCha
pter/Section:b Chb01,bSecb01

19) Ifbthebhypotenusebofbab45°b-b45°b-b90°btrianglebhasbablengthbofb ,bhowblongbarebtheblegs?




Answer:b b 16
Diff:b1 Var:b1
QuestionbType:b ShortbAnswerbCha
pter/Section:b Chb01,bSecb01

20) Ifbtheblongerblegbofbab30°b-b60°b-b90°btrianglebhasbablengthbofb ,bhowblongbisbthebhypotenuse?




Answer:b b 18
Diff:b1 Var:b1
QuestionbType:b ShortbAnswerbCha
pter/Section:b Chb01,bSecb01
5

,21) Clock.bWhatbisbthebmeasureb(inbdegrees)bofbthebtwobanglesbbetweenbthebhourbhandbandbminute




6

,handbonbabclockbwhenbthebtimebisbexactlyb2:22?bAssumebthebhourbhandbpointsbtob2:00.
A) 120°,b240°
B) 72°,b288°
C) 132°,b228°
D) 12°,b348°
Answer:b b B
Diff:b2 Var:b1
QuestionbType:b MultiplebChoicebC
hapter/Section:b Chb01,bSecb01

22) Clock.bWhatbisbthebmeasureb(inbdegrees)bofbthebtwobanglesbbetweenbthebhourbhandbandbminutebh
andbonbabclockbwhenbitbisbexactlyb4:33?bAssumebthebhourbhandbpointsbtob4:00.
Answer:b b 78°,b282°
Diff:b2 Var:b1
QuestionbType:b ShortbAnswerbCha
pter/Section:b Chb01,bSecb01

23) FerrisbWheel.bThebFerrisbWheelbwasbanbamusementbparkbridebthatbwasbinventedbbybbridgebbuil
derbGeorgebW.bFerris,bandbunveiledbatbtheb1889bParisbExhibition.bThebwheelbhadbabdiameterbofb250bf
eet,babcircumferencebofb825bfeet,bandbabmaximumbheightbofb264bfeet.bIfbthebFerrisbWheelbmadebonebrot
ationbinb40bminutes,bwhatbwasbthebmeasurebofbthebangleb(inbdegrees)bthatbabcartbonbthebWheelbwouldbr
otatebinb26bminutes?




A) 260°
B) 234°
C) 208°
D) 182°
Answer:b b B
Diff:b2 Var:b1
QuestionbType:b MultiplebChoicebC
hapter/Section:b Chb01,bSecb01




7

,24) FerrisbWheel.bThebFerrisbWheelbwasbanbamusementbparkbridebthatbwasbinventedbbybbridgebbuil
derbGeorgebW.bFerris,bandbunveiledbatbtheb1889bParisbExhibition.bThebwheelbhadbabdiameterbofb250bf
eet,babcircumferencebofb825bfeet,bandbabmaximumbheightbofb264bfeet.bIfbthebFerrisbWheelbmadebonebrot
ationbinb40bminutes,bwhatbwasbthebmeasurebofbthebangleb(inbdegrees)bthatbabcartbonbthebWheelbwouldbr
otatebinb15bminutes?




Answer:b b 135°
Diff:b2 Var:b1
QuestionbType:b ShortbAnswerbCha
pter/Section:b Chb01,bSecb01

25) RoofbTruss.bAbroofingbcontractorbisbbuildingbtriangularbtrussesbwithbabpitchbofb45bdegrees.bIfbt
hebhypotenusebofbthebtrussesbisb101bfeet,bwhatbisbthebnumberbofblinearbfeetbofbboardbrequiredbtobbuil
dbeachbtrussb(tobthebnearestbfoot)?




101bft
A) 244blinearbfeet
B) 276blinearbfeet
C) 143blinearbfeet
D) 387blinearbfeetb
Answer:b A
Diff:b3 Var:b1
QuestionbType:b MultiplebChoicebC
hapter/Section:b Chb01,bSecb01

26) RoofbTruss.bAbroofingbcontractorbisbbuildingbtriangularbroofbtrussesbwithbabpitchbofb45bdegrees.bI
fbthebhypotenusebofbthebtrussesbisb141bfeet,bwhatbisbthebnumberbofblinearbfeetbofbboardbrequiredbtobbui
ldbeachbtrussb(tobthebnearestbfoot)?




141bftb Answer
:b 340blinearbfeetbDiff:b3
Var:b1
QuestionbType:b ShortbAnswerbCha
pter/Section:b Chb01,bSecb01

8

,27) Abropebisbtobbebtiedbfrombthebtopbofbabtentb8bfeetbhighbtobabstakebinbthebground.bIfbthebanglebbetwe
enbthebgroundbandbthebropebisbtobbeb31°,bhowbfarbfrombthebbasebofbthebtentbshouldbthebropebbebstaked?b
(Roundbtobtwobdecimalbplaces.)
A) 9.33bfeet
B) 13.31bfeet
C) 4.12bfeet
D) 15.53bfeet
bAnswer:b B

Diff:b2 Var:b1
QuestionbType:b MultiplebChoicebC
hapter/Section:b Chb01,bSecb01

28) Ifbabrevolvingbrestaurantbcanbrotateb40°binb45bminutes,bhowblongbdoesbitbtakebforbthebrestaurantbtob
makebabcompletebrevolution?
Answer:b b 405bminutes
Diff:b2 Var:b1
QuestionbType:b ShortbAnswerbCha
pter/Section:b Chb01,bSecb01




9

, Trigonometry,b5eb(Young)
Chapterb1 RightbTrianglebTrigonometry

1.2 SimilarbTriangles

1) FindbthebmeasurebofbanglebCbifbanglebHbisb69°.




A) 21°
B) 159°
C) 69°
D) 111°
Answer:b b D
Diff:b2 Var:b1
QuestionbType:b MultiplebChoicebC
hapter/Section:b Chb01,bSecb02

2) FindbthebmeasurebofbanglebEbifbanglebAbisb131°.




A) -41°
B) 221°
C) 131°
D) 49°
Answer:b b C
Diff:b2 Var:b1
QuestionbType:b MultiplebChoicebC
hapter/Section:b Chb01,bSecb02




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