Answer:
x=47 feet
Step-by-step explanation:
Since angle VTY is congruent to angle VTK, segment TY bisects angle VTK. Since Y is on segment VK, between V and K, we can use the Angle Bisector Theorem, which states that:
[tex]\frac{VY}{YK}=\frac{VT}{TK}[/tex]
[tex]\frac{22}{YK}=\frac{77}{87.5}[/tex]
[tex]YK=\frac{22{\times}87.5}{77}[/tex]
[tex]YK=25 feet[/tex]
Now, X=VY+YK
Substituting the values, we get
X=[tex]22+25[/tex]
X=[tex]47 feet[/tex]
