Roboguru

Pertanyaan

Suatu segitiga KLM dengan panjang straight k equals 4 square root of 2 space cmstraight l equals 8 space cm, dan angle straight L equals 45 degree. Maka nilai tan space straight K adalah ...

  1. 0 

  2. 1 third square root of 3 

  3. 1 

  4. square root of 3 

  5. infinity 

M. Mariyam

Master Teacher

Mahasiswa/Alumni Institut Pertanian Bogor

Jawaban terverifikasi

Pembahasan

Diketahui : straight k equals 4 square root of 2 space cmstraight l equals 8 space cmangle straight L equals 45 degree 

Dengan menggunakan aturan sinus perbandingan sisi maka space 

table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator straight l over denominator sin space straight L end fraction end cell equals cell fraction numerator straight k over denominator sin space straight K end fraction end cell row cell fraction numerator 8 over denominator sin space 45 degree end fraction end cell equals cell fraction numerator 4 square root of 2 over denominator sin space straight K end fraction end cell row cell 8 space sin space straight K end cell equals cell 4 square root of 2 sin space 45 degree end cell row cell sin space straight K end cell equals cell fraction numerator 4 square root of 2 sin space 45 over denominator 8 end fraction end cell row cell sin space straight K end cell equals cell fraction numerator 4 square root of 2 cross times begin display style fraction numerator square root of 2 over denominator 2 end fraction end style over denominator 8 end fraction end cell row cell sin space straight K end cell equals cell fraction numerator 2 cross times 2 over denominator 8 end fraction end cell row cell sin space straight K end cell equals cell 1 half end cell row straight K equals cell 30 degree end cell end table 

Sehingga

table attributes columnalign right center left columnspacing 0px end attributes row cell tan space straight K end cell equals cell tan space 30 degree end cell row blank equals cell 1 third square root of 3 end cell end table 

Jadi, jawaban yang benar adalah B.space 

 

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