Question

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

Answer 1

Answer:

x = 67.5 ft

Step-by-step explanation:

ΔNPM and ΔABM are similar. Therefore the sides are in proportion:

$\dfrac{AM}{NM}=\dfrac{BM}{PM}$

We have

$AM=71.5\ ft-22\ ft=49.5\ ft\\NM=71.5\ ft\\BM=x\\PM=97.5\ ft$

Substitute:

$\dfrac{49.5}{71.5}=\dfrac{x}{97.5}$       cross multiply

$71.5x=(49.5)(97.5)$

$71.5x=4826.25$           divide both sides by 71.5

$x=67.5$