Answer:
[tex]x=67.5\ ft[/tex]
Step-by-step explanation:
we know that
Triangles MNP and MAB are similar by AAA theorem
If two figures are similar, then the ratio of its corresponding sides is equal
so
[tex]\frac{MB}{MP}=\frac{MA}{MN}[/tex]
substitute the values
[tex]\frac{x}{97.5}=\frac{71.5-22}{71.5}[/tex]
[tex]\frac{x}{97.5}=\frac{49.5}{71.5}[/tex]
[tex]x=97.5*\frac{49.5}{71.5}=67.5\ ft[/tex]
