Respuesta :

Answer:

  • A = 40°
  • a = 9.0
  • b = 10.7

Step-by-step explanation:

The mnemonic SOH CAH TOA is intended to remind you of the relevant trig relations:

  Sin = Opposite/Hypotenuse

  Cos = Adjacent/Hypotenuse

__

In this triangle this means ...

  sin(50°) = b/14   ⇒   b = 14·sin(50°) ≈ 10.7

  cos(50°) = a/14   ⇒   a = 14·cos(50°) ≈ 9.0

Of course, the other acute angle, A, is the complement of the given one:

  A = 90° -50° = 40°

So you have ...

  • A = 40°
  • a = 9.0
  • b = 10.7