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Jika besar  dan , besar  dalam derajat adalah ...

Jika besar begin mathsize 14px style angle BOC equals 53 degree 32 apostrophe 44 apostrophe apostrophe end style dan begin mathsize 14px style angle AOC equals 86 degree 24 apostrophe 29 apostrophe apostrophe end style, besar begin mathsize 14px style angle AOB end style dalam derajat adalah ...

Jawaban:

Diketahui:

begin mathsize 14px style angle BOC equals 53 degree 32 apostrophe 44 apostrophe apostrophe end style.

begin mathsize 14px style angle AOC equals 86 degree 24 apostrophe 29 apostrophe apostrophe end style.

Digambarkan sebagai berikut:

Ingat bahwa:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell table row cell 1 apostrophe equals 60 apostrophe apostrophe end cell rightwards arrow cell 1 apostrophe apostrophe equals fraction numerator 1 over denominator 60 apostrophe end fraction end cell row cell 1 degree equals 60 apostrophe end cell rightwards arrow cell 1 apostrophe equals fraction numerator 1 over denominator 60 degree end fraction end cell row cell 1 degree equals 3.600 apostrophe apostrophe end cell rightwards arrow cell 1 apostrophe equals fraction numerator 1 over denominator 3.600 degree end fraction end cell end table end cell end table end style

Konversikan terlebih dahulu begin mathsize 14px style angle AOC end style seperti berikut:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell angle AOC end cell equals cell 86 degree 24 apostrophe 29 apostrophe apostrophe end cell row blank equals cell 86 degree plus 23 apostrophe plus open parentheses 60 apostrophe apostrophe plus 29 apostrophe apostrophe close parentheses end cell row blank equals cell 86 degree plus 23 apostrophe plus 89 apostrophe apostrophe end cell row blank equals cell 85 degree plus open parentheses 60 apostrophe plus 23 apostrophe close parentheses plus 89 apostrophe apostrophe end cell row blank equals cell 85 degree plus 83 apostrophe plus 89 apostrophe apostrophe end cell row blank equals cell 85 degree 83 apostrophe 89 apostrophe apostrophe end cell end table end style

Sehingga diperoleh bahwa:

begin mathsize 14px style angle AOC equals 86 degree 24 apostrophe 29 apostrophe apostrophe equals 85 degree 83 apostrophe 89 apostrophe apostrophe end style

Operasikan sudut-sudutnya seperti berikut:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell angle AOB end cell equals cell angle AOC minus angle BOC end cell row blank equals cell 85 degree 83 apostrophe 89 apostrophe apostrophe minus 53 degree 32 apostrophe 44 apostrophe apostrophe end cell row blank equals cell 32 degree 51 apostrophe 45 apostrophe apostrophe end cell end table end style

Kemudian konservasikan ke dalam derajat seperti berikut:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell angle AOB end cell equals cell 32 degree 51 apostrophe 45 apostrophe apostrophe end cell row blank equals cell 32 degree plus fraction numerator 51 apostrophe over denominator 60 degree end fraction plus fraction numerator 45 apostrophe apostrophe over denominator 3600 degree end fraction end cell row blank equals cell 32 degree plus 0 comma 85 degree plus 0 comma 0125 degree end cell row blank equals cell 32 comma 8625 degree end cell end table end style

Maka, besar begin mathsize 14px style angle AOB end style dalam derajat adalah begin mathsize 14px style 32 comma 8625 degree end style.

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