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Pada kubus ABCD.EFGH, maka sudut antara garis AF d...

Pada kubus ABCD.EFGH, maka sudut antara garis AF dan BH adalah ..... 

  1. 45° 

  2. 60° 

  3. 30° 

  4. 90° 

  5. 115° 

Jawaban:

PQ sejajar AF

angle left parenthesis B H comma A F right parenthesis equals angle left parenthesis B H comma P Q right parenthesis equals x  P R equals 1 half P Q equals 1 half a square root of 2  B R equals 1 half B H equals 1 half a square root of 3  B P equals square root of a squared plus open parentheses 1 half a close parentheses squared end root equals 1 half a square root of 5  cos space x equals fraction numerator left parenthesis B R right parenthesis squared plus left parenthesis P R right parenthesis squared minus left parenthesis B P right parenthesis squared over denominator 2. B R. P R end fraction  equals fraction numerator begin display style 3 over 4 end style a squared plus begin display style 2 over 4 end style a squared minus begin display style 5 over 4 end style a squared over denominator 2. begin display style 1 half end style a square root of 3. begin display style 1 half end style a square root of 2 end fraction equals 0  x equals 90 to the power of 0

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