Workout Click here - Corbettmaths · Videos 333, 334 on Question 1: ACD is a triangle and B is a...
Transcript of Workout Click here - Corbettmaths · Videos 333, 334 on Question 1: ACD is a triangle and B is a...
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!SineRule
Videos333,334onwww.corbettmaths.com
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Question1: Findxforeachofthetrianglesbelow.(a) (b) (c)
Question2: Findxforeachofthetrianglesbelow.
(a) (b) (c)
(d) (e) (f)
Question3: Findthesizeofθforeachofthesetriangles.(a) (b) (c)
Examples
Workout
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� �
!SineRule
Videos333,334onwww.corbettmaths.com
Question4: Findthesizeofθforeachofthesetriangles.(a) (b) (c)
Question5: Findthemissingangleθorside,x,foreachofthetrianglesbelow.
(a) (b) (c)
(d) (e) (f)
Question6: Thetrianglesbelowhavetwopossiblevaluesfortheangleθ. Findthesizeofthesepossibleangles.(a) (b) (c)
© CORBETTMATHS 2017
� �
!SineRule
Videos333,334onwww.corbettmaths.com
�Question1: ACDisatriangleandBisapointonAC. BC=10cm AngleACD=77° AngleBDC=26°
AngleDAC=40°
(a)FindthelengthofBD
(b)FindthesizeofangleABD
(c)FindthelengthofAD
Question2: CalculatetheperimeteroftriangleABC
Question3: Donhamptonis48kmfromCastletownonabearingof050°. Eastvilleisonabearingof075°fromCastletownandonabearingof150°from Donhampton. CalculatethedistanceofEastvillefromCastletown.
Question4: Thediagramshows3helicoptersD,EandF. HelicopterDisdueSouthofhelicopterE. ThebearingofhelicopterFfromhelicopterEis060° ThebearingofhelicopterFfromhelicopterDis012° ThedistanceofhelicopterFfromhelicopterDis900m
(a)FindthedistanceofhelicopterFfromhelicopterE
(b)FindthedistanceofhelicopterDfromhelicopterE.
Apply
© CORBETTMATHS 2017
� �
!SineRule
Videos333,334onwww.corbettmaths.com
Question5: Twosmallboatsare28mapart. Theangleofelevationoftheboatstothetopofthelighthousesare24°and40° respectively.
Calculatetheheightofthelighthouse.
Question6: TherearetwopossibletrianglesDEF,whereDE=6.2cm,EF=7.9cm and∠DFE=30°
Sketchbothpossibletriangleswithallsidesandanglesfound.
Question7: AUFOis\lyingabovetwopeople,standingonthegroundatpointsAandB. AandBare300mapart. TheangleofelevationoftheUFOfromAis30° TheangleofelevationoftheUFOfromBis23° FindtheheightoftheUFOabovetheground.
Question8: Twoships,AandB,leaveaportatmidday. Atravelsonabearingof085°ataspeedof18km/h. Btravelsonabearingof113°ataspeedofykm/h. At14:00thedistancebetweenAandBis30km. BoatBwastravellingataslowerspeedthanboatA Workouty,thespeedofboatB.
© CORBETTMATHS 2017
� �
!SineRule
Videos333,334onwww.corbettmaths.com
Question9: ShownbelowistriangleABC. Allvaluesarecorrectto2signi\icant\igures. CalculatetheupperboundforthelengthofAC.
Question10: ProvetheSineRule.
�Answers
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