Question

What is the value of x?​

Answer 1

67.5ft would be the correct answer

Answer 2

x = 67.5 ft

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

∴
`(MA)/(MN)=(MB)/(MP)`

∵NA = 22 ft and NM = 71.5 ft

∴MA = 71.5 - 22 = 49.5 ft

∴
`(49.5)/(71.5)=(x)/(97.5)\\`

∴
`x=((97.5)(49.5)/(71.5)=67.5 ft`