Answer:
[tex]\Large \boxed{\sf 69.02 \ ft}[/tex]
Step-by-step explanation:
Solve for w using Pythagorean Theorem
[tex]\displaystyle w=\sqrt{77^2-22^2} =33\sqrt{5}[/tex]
Solve for z using Pythagorean Theorem
[tex]\displaystyle z=\sqrt{(87.5)^2-(33\sqrt{5} )^2} = 47.02[/tex]
Find value of x
[tex]x=VY+YK[/tex]
[tex]22+47.02=69.02[/tex]
