A building is 200 feet long. The length of the building on a scale diagram is 2 feet 6 inches.

What is the height of the building on the same scale diagram if the building is actually 50 feet high?
Round your answer to the nearest inch.

4 inches

8 inches

10 inches

1 foot 6 inches

Relax

Respuesta :

the real length of 200 ft "translates" to scaled 2ft 6".

as there are 12 inches in 1 ft, we have therefore 2×12 + 6 = 30 inches.

now, we have a real length of 50 ft.

that is 1/4 of the already analyzed length of 200 ft.

since scaling is a linear function, that means the same factor (1/4) applies on the scaled diagram.

so,

30 × 1/4 = 15/2 = 7.5 ≈ 8 inches

the height on the scale diagram is 8 inches.