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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

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� �

!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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