Answer:
x = 67.5 ft
Step-by-step explanation:
∵ AB//NP
∴ m∠MAB = m∠MNP⇒(1) corresponding angle
∴ m∠MBA = m∠MPN⇒(2) corresponding angle
In the two triangles MAB and MNP
∠M is a common angle in the two triangles
Use (1) and (2)
∴ The two triangles are similar
∴[tex]\frac{MA}{MN}=\frac{MB}{MP}[/tex]
∵NA = 22 ft and NM = 71.5 ft
∴MA = 71.5 - 22 = 49.5 ft
∴[tex]\frac{49.5}{71.5}=\frac{x}{97.5}\\[/tex]
∴[tex]x=\frac{(97.5)(49.5}{71.5}=67.5 ft[/tex]
