SOLUTION: I have to find the value of X, Y, and Z. There is a right triangle with a 60 degree angle with the hypotenuse being Z and the longest side being Y. There is a triangle hooked to th

Algebra ->  Triangles -> SOLUTION: I have to find the value of X, Y, and Z. There is a right triangle with a 60 degree angle with the hypotenuse being Z and the longest side being Y. There is a triangle hooked to th      Log On


   

Question 822403: I have to find the value of X, Y, and Z. There is a right triangle with a 60 degree angle with the hypotenuse being Z and the longest side being Y. There is a triangle hooked to that triangle by the shortest side. The angle farthest away is 40 degrees. The base leg is X and the hypotenuse is 4 square root 2.
Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!


x%2F%284sqrt%282%29%29 = cos(40°)
      x = 4√2·cos(40°)
      x = 4.333401763

h%2F%284sqrt%282%29%29 = sin(40°)
      h = 4√2·sin(40°)
      h = 3.636155821

h%2Fz = sin(60°)
z·sin(60°) = h
      z = h%2Fsin%28%2260%B0%22%29
      z = 3.636155821%2Fsin%28%2260%B0%22%29
      z = 4.198671085 

h%2Fy = tan(60°)
y·tan(60°) = h
      y = h%2Ftan%28%2260%B0%22%29
      y = 3.636155821%2Ftan%28%2260%B0%22%29
      y = 2.099335542  

Edwin