Question

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

Answer 1

x = 67.5 ft

Explanation:

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

`(AM)/(NM)=(BM)/(PM)`

We have

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

Substitute:

`(49.5)/(71.5)=(x)/(97.5)` cross multiply

`71.5x=(49.5)(97.5)`

`71.5x=4826.25` divide both sides by 71.5

`x=67.5`