Question

What is the value of x?
Enter your answer, as a decimal, in the box.

Answer 1

x = 67.5 ft

Explanation:

In ΔNMP

∵ AB // NP

∴ m∠ MAB = m∠MNP

∴ m∠MBA = m∠MPN

∵ ∠M is a comman angle

∴ ΔMAB is similar to ΔMNP

∴ MA/MN = MB/MP

∵ MA = 71.5 - 22 = 49.5

∴ 49.5/71.5 = x/97.5

∴ x =
`((49.5)(97.5))/(71.5)` = 67.5