I’m honestly having the biggest brain fart with this right now, end of the school year brain , someone please help!!

Question

01-06-2018
Mathematics

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I’m honestly having the biggest brain fart with this right now, end of the school year brain , someone please help!!

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tramserran tramserran · Answer 1 · 2018-06-01T12:17:05+02:00

sin θ = opposite/hypotenuse      &          tan θ = opposite/adjacent
sin 30 = 18/y tan 30 = 18/x
   y = 18/sin 30    x = 18/tan 30
   y = 36    x ≈ 31.2

you can also use the 30° - 60° - 90° shortcuts
side opposite 30 = a, side opposite 60 = a√3, side opposite 90 = 2a
then, 18 = a
      x = a√3= 18√3
      y = 2a = 2(18) = 36