Respuesta :

Answer:

option D. 20 cm

Step-by-step explanation:

step 1

Find the volume of the water

The volume of the water is equal to

[tex]V=LWH[/tex]

we have

[tex]L=60\ cm\\W=40\ cm\\H=50\ cm[/tex]

substitute

[tex]V=(60)(40)(50)[/tex]

[tex]V=120,000\ cm^3[/tex] ---> volume of water

step 2

Find the deep of the water, if the tank is returned to its horizontal position

we have

[tex]V=120,000\ cm^3[/tex]

[tex]L=100\ cm\\W=60\ cm\\H=?\ cm[/tex]

where

H is the deep of the water

substitute in the formula of volume

[tex]120,000=(100)(60)(H)[/tex]

solve for H

[tex]120,000=6,000)(H)[/tex]

[tex]H=20\ cm[/tex]