Question

What is the value of x?
(As a decimal )

Answer 1

x = 42.9 m

Explanation:

ΔNPM and ΔABM are similar (AAA). Therefore the corresponding sides are in proportion:

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

We have

`NM=67.2m,\ AM=67.2m-32m=35.2m,\ PM=81.9m,\ BM=x`

Substitute:

`(67.2)/(35.2)=(81.9)/(x)` cross multiply

`67.2x=(35.2)(81.9)[\tex]</p><p>[tex]67.2x=2882.88` divide both sides by 67.2

`x=42.9\ m`