Respuesta :

The measure of x in the triangle is 8

Properties of a right angle triangle;

  • One of its side is 90 degree
  • The sides and angle can be found using the trigonometric ratios

Therefore, the measure of x can be found as follows:

sin 60 = opposite / hypotenuse

sin 60 = 4√3 / x

x = 4√3 / sin 60

x =  4√3  / √3 / 2

x = 4√3 × 2 / √3

x = 8

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