Question 1048011
the problem says to find Y i will try to illustrate it as best I can i have drawn the picture but it will not paste 

             /|\
            / | \
           /30|40\
          /   |   \
         /    |    \
        /     |     \
       /80  x |      \
      /       |y     z\
     /_________________\_    when i preview the question all the lines in the illustration move to the left so i will try to explain it the vertical line separates the two triangle in the left triangle at the top you have 30 degrees in the bottom left you have 80 degrees and on the bottom right of the left triangle you have x, in the right triangle at the top you have 40 degrees on the bottom left of the right triangle you have y and on the bottom right of the right triangle you have z
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If y is the length:
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1st find x.
cos(30) = x/80
x = 80*sqrt(3)/2 = 40sqrt(3)
---
tan(40) = y/x
y = tan(40)*40sqrt(3)
y =~ 58.135