Question

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

Answer 1

Answer:

x = 42.9 m

Step-by-step explanation:

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

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

We have

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

Substitute:

$\dfrac{67.2}{35.2}=\dfrac{81.9}{x}$          cross multiply

$67.2x=(35.2)(81.9)[\tex][tex]67.2x=2882.88$              divide both sides by 67.2

$x=42.9\ m$