netraevans23
netraevans23 netraevans23
  • 14-05-2020
  • Mathematics
contestada

a=3.5, b =6.9, c=4.7
whats the measure of angle a?​

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 14-05-2020

Answer:

  27.66°

Step-by-step explanation:

From the law of cosines, ...

  a² = b² +c² -2bc·cos(A)

  cos(A) = (b² +c² -a²)/(2bc)

  A = arccos((b² +c² -a²)/(2bc))

  A = arccos((6.9² +4.7² -3.5²)/(2·6.9·4.7)) = arccos(57.45/64.86)

  A ≈ 27.66°

The measure of angle A is about 27.66°.

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