Answer:
x = 42.9 m
Step-by-step explanation:
ΔNPM and ΔABM are similar (AAA). Therefore the corresponding sides are in proportion:
[tex]\dfrac{NM}{AM}=\dfrac{PM}{BM}[/tex]
We have
[tex]NM=67.2m,\ AM=67.2m-32m=35.2m,\ PM=81.9m,\ BM=x[/tex]
Substitute:
[tex]\dfrac{67.2}{35.2}=\dfrac{81.9}{x}[/tex] cross multiply
[tex]67.2x=(35.2)(81.9)[\tex]
[tex]67.2x=2882.88[/tex] divide both sides by 67.2
[tex]x=42.9\ m[/tex]
