Answer: X = 69 ft
Explanation:
So first need to fully characterize the left triangle (notice that both are triangle rectangles), we must find the missing cathetus.
we know by the Pythagorean theorem that:
C1^2 + C2^2 = H^2
22^2 + C2^2 = 77^2
C2 = √(77*77 - 22*22) = 73.8ft
Now, this cathetus is shared by both triangles, so we want to find the cathetus between Y and K, this is:
c1^2 + c2^2 = h^2
c1 = √(-73.8^2 + 87.5^2) = 47 ft
So the value of X is 22 ft + 47 ft = 69ft