Respuesta :

mhanifa

Answer:

  • Option A

Step-by-step explanation:

Find the length of AB:

  • AB = [tex]\sqrt{7^2+4^2} =\sqrt{65}[/tex]

Now as we know:

sine = opposite / hypotenuse

  • sin A = 4/[tex]\sqrt{65}[/tex] = 4[tex]\sqrt{65}[/tex]/65

cosine = adjacent / hypotenuse

  • cos A = 7/[tex]\sqrt{65}[/tex] = 7[tex]\sqrt{65}[/tex]/65

tangent = opposite / adjacent

  • tan A = 4 / 7

Correct choice is A

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