Question

Pakai aturan sinus, tolong bantu :)​

Answer 1

Materi : Trigonometri

Soal Nomor 1

AB/Sin C = BC/Sin A

AB/Sin 80 = 5/Sin 30

AB/Sin 80 = 5/½

AB = 10 . Sin 80

AB = 9,848077...

AB ~ 9,848

Soal Nomor 2

Sin Q/PR = Sin P/QR

Sin Q/8 = Sin 30/6

Sin Q = 8 . ½/6

Sin Q = 4/6

Sin Q = ⅔

Q = Sin-¹( ⅔ )

Q = 41,810314...

Q ~ 41,81°

Soal Nomor 3

Panjang XZ ( Aturan Cosine )

XZ² = XY² + YZ² - 2 . XY . YZ . Cos Y

XZ² = 6² + (2√3)² - 2 . 6 . 2√3 . Cos 60

XZ² = 36 + 12 - 24√3 . ½

XZ² = 48 - 12√3

XZ² = 4( 12 - 3√3 )

XZ = 2√( 12 - 3√3 )

XZ = 5,2168371...

XZ ~ 5,217 cm

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∠X ( Aturan Sine )

Sin X/YZ = Sin Y/XZ

Sin X/2√3 = Sin 60/2√( 12 - 3√3 )

Sin X = 2√3 . √3/2 . 1/[ 2√( 12 - 3√3 ) ]

Sin X = 3/[ 2√( 12 - 3√3 ) ]

X = Sin-¹( 3/[ 2√( 12 - 3√3 ) ] )

X = 35,103909...

X = ~ 35,104°

Semoga bisa membantu

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