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WSKT 212 PAC

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Laat ons die moontlike oplossings vir hierdie vergelyking ondersoek:<br />

Daar is dus twee moontlike oplossings vir die waarde van <br />

BPA :<br />

BPA = 51, 137 764° of BPA = 180°− 51, 137 764°<br />

∴ BPA = 51, 137 764° of BPA = 128, 862 236°<br />

Die twee moontlike waardes vir AP, dit is vanaf A tot by P 1 of P 2 , kan nou bereken word, uit<br />

die feit dat daar ook twee moontlike waardes vir ABP moet wees:<br />

ABP = 180°−32−BPA <br />

∴ ABP = 180°−32− 51,137 764° of ABP = 180°−32 − 128,862 236°<br />

∴ ABP = 96, 862 236° of ABP = 19, 137 764°<br />

Dus:<br />

AP BP<br />

=<br />

sinABP sinθ<br />

AP 24,5<br />

∴ =<br />

sin96,862 236° sin32°<br />

24, 5 ⋅ sin96,862 236°<br />

∴ AP =<br />

sin32°<br />

∴ AP = 45, 902 256 cm<br />

of<br />

AP BP<br />

=<br />

sinABP sinθ<br />

AP 24,5<br />

∴ =<br />

sin19,137 764° sin32°<br />

24, 5 ⋅ sin19,137 764°<br />

∴ AP =<br />

sin32°<br />

∴ AP =<br />

15, 157 207 cm<br />

181

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