A building has eight levels above ground and one level below ground. The height of each level from floor to ceiling is 14 1/2 feet. What is the net change in elevation going from the floor of the underground level to the ceiling of the fourth level above ground? Assume the floor at ground level is at an elevation of zero feet.

Respuesta :

the net change in elevation is 72.5 feet

Answer: There is net change of -58 feet from the floor of the underground level to the ceiling of the fourth level above ground.

Step-by-step explanation:

Since we have given that

Number of levels above ground = 8

Number of levels of building below ground = 1

Height of each level from floor to ceiling = [tex]14\dfrac{1}{2}\ feet=\dfrac{29}{2}\ feet[/tex]

So, we need to find the net change in elevation going from the floor of the underground level to the ceiling of the fourth level above ground.

Let us assume that the floor at ground level is at an elevation of zero feet.

So, Height of fourth level above ground is given by

[tex]\dfrac{29}{2}\times 4\\\\=29\times 2\\\\=58\ feet[/tex]

so, Net change in elevation going from the floor of the underground level to the ceiling of the fourth level above ground is given by

0-58 feet = -58 feet.

Hence, there is net change of -58 feet from the floor of the underground level to the ceiling of the fourth level above ground.

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