A scale drawing of a building needs to be made using the scale 1 in=200 ft. How tall will the building in the scale drawing be if the building is 1600 ft tall?

Respuesta :

Answer:

800 inches

Step-by-step explanation:

1 in. 200 ft

-------- = ---------

x 1600 ft

The height of the building in the scale drawing will be 8 inches.

Given that:

In scale drawing we have: 1 inches  = 200 feet.

To find:

Height of building in drawing scale if its real height is 1600 feet.

Calculations:

Let the height of the building in the drawing scale be x inches. Then we will have:

[tex]1 \: \rm inches = 200\: \rm feet\\x \: \rm inches = x \times 200 \: \rm feet[/tex]

Since the real height of the considered building is 1600 feet. Thus,

[tex]x \times 200 = 1600\\\\x = \dfrac{1600}{200}\\\\x = 8 \: \rm inches[/tex]

Thus, the height of the building in the scale drawing will be 8 inches.

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