Respuesta :

Answer:

  • x = 59
  • y = 16.64
  • z = 19.42

Step-by-step explanation:

The sum of angles in a triangle is 180°, so angle x is the complement of the one marked 31°.

  x = 90 -31

  x = 59

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The tangent relation tells you ...

  tan(31°) = 10/y

  y = 10/tan(31°) = 10/0.6009

  y ≈ 16.64

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The sine relation tells you ...

  sin(31°) = 10/z

  z = 10/sin(31°) = 10/0.5150

  z ≈ 19.42