Respuesta :

9514 1404 393

Answer:

  x = 5

Step-by-step explanation:

The given side is opposite the angle, and the unknown is the hypotenuse. The relevant trig relation is ...

  Sin = Opposite/Hypotenuse

  sin(30°) = (5/2)/x

  x = (5/2)/sin(30°) = (5/2)/(1/2) = 5/1

  x = 5

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Additional comment

In this 30°-60°-90° "special" right triangle, the long leg is √3 times the short leg, so ...

  y = (5/2)√3