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Berdasarkan gambar di samping, tentukan: b. Bes...

Berdasarkan gambar di samping, tentukan:

b. Besar begin mathsize 14px style angle ABD end style.

Jawaban:

Perhatikan perhitungan berikut ini.

Ingat, sudut berpelurus:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell angle x plus angle straight y end cell equals cell 180 degree end cell row cell straight alpha plus straight beta end cell equals cell 180 degree end cell row blank blank blank end table end style

dan hubungan sudut dengan menit:

begin mathsize 14px style 1 degree equals 60 apostrophe end style

Terlihat pada gambar bahwa begin mathsize 14px style angle ABD end style dan begin mathsize 14px style angle CBD end style saling berpelurus, maka:

Perhatikan.

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell 121 degree 24 apostrophe end cell equals cell 121 degree plus open parentheses 24 over 60 close parentheses degree end cell row blank equals cell 121 degree plus 0 comma 4 degree end cell row blank equals cell 121 comma 4 degree end cell end table end style

sehingga

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell angle ABD plus angle CBD end cell equals cell 180 degree end cell row cell 2 straight x plus 121 comma 4 degree end cell equals cell 180 degree end cell row cell 2 straight x end cell equals cell 180 degree minus 121 comma 4 degree end cell row cell 2 straight x end cell equals cell 58 comma 6 degree end cell end table end style

Jadi, besar begin mathsize 14px style angle ABD end style adalah begin mathsize 14px style 58 comma 26 degree end style.

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