Respuesta :

Answer:

8

Step-by-step explanation:

use trig functions

2 sides and 1 angle given

Sides given

  • hypotenuse -> x
  • opposite side to 30˚ -> 4

Angle

  • 30˚

trig function associated with hyp and opp is sin

sin(x) = opp/hyp

substitute

sin 30˚ = 4/x

solve for x

0.5 = 4/x

0.5x = 4

x = 8

Answer:

Step-by-step explanation:

sin 30° = [tex]\frac{4}{x}[/tex]

x = [tex]\frac{4}{sin 30}[/tex]

x = [tex]\frac{4}{0.5}[/tex]

x = 8

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