What is the value of x?
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ft

X = 69 ft

Step-by-step 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