Question

The Empire State building in New York City is about 1450 feet height including Mia tonight at the top and 400 feet wide Andre wants to make a scale drawing of the front view of the Empire State BuildingOn 8th 1/2" x 11" piece of paper school select a scale that you think is most appropriate for the scale drawing explain your reasoning

Answer 1

1 : 1740

Explanation:

The piece paper has 8 1/2" x 11", we have must find the appropriate dimensions on a scale such that the drawing of the Empire State is contained within the measures of the piece of paper. Leaving a margin of 1/2 "on both sides we have 10" high by 7 1/2" wide.

we choose the highest side of the piece of paper (11 "including margin 10") to cover the height and width (8 1/2 "including margin 7 1/2") for the base .

1450 ft ≅ 10"(inch) then:

400 ft ≅ x "(inch); x=400ft*10"/1450ft ⇒ x=2.75", also

the scale is:

if 1450 ft ≅ 17400" ⇒ 17400" in the reality are 10" in the piece of paper, so the relation is 1 : 1740, is to say, 1" in the piece of paper is 1740" in the reality

Note: but wish to leave room, the scale can be 1 to more than 1740