Answer:
x = 67.5 ft
Step-by-step explanation:
ΔNPM and ΔABM are similar. Therefore the sides are in proportion:
[tex]\dfrac{AM}{NM}=\dfrac{BM}{PM}[/tex]
We have
[tex]AM=71.5\ ft-22\ ft=49.5\ ft\\NM=71.5\ ft\\BM=x\\PM=97.5\ ft[/tex]
Substitute:
[tex]\dfrac{49.5}{71.5}=\dfrac{x}{97.5}[/tex] cross multiply
[tex]71.5x=(49.5)(97.5)[/tex]
[tex]71.5x=4826.25[/tex] divide both sides by 71.5
[tex]x=67.5[/tex]
