Respuesta :

Answer:

E

Step-by-step explanation:

AB=7

sin∠C/7=sin90/[tex]\sqrt{74}[/tex]

∠C=54.462

9514 1404 393

Answer:

  E.  54.462

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relationship involving the adjacent side and the hypotenuse:

  Cos = Adjacent/Hypotenuse

  cos(C) = CB/CA = 5/√74

Then the angle is found using the inverse function:

  C = arccos(5/√74) ≈ arccos(0.581238)

  C ≈ 54.462°

The measure in degrees of angle C is about 54.462.