Question

The height of a building is

480 feet. on a drawing of the building,
1/2 inch represents 24 feet, what is the
height of
building on the drawing?

Answer 1

10 feet

Explanation:

This is a problem of scale

where scale is

actual height of any object/ height of that object on drawing

given

actual height = 24 feet

this is represented 1/2 inch on drawing

thus

scale = actual height/ height on drawing = 24 feet/1/2 inch = 24*2 feet/ 1 inch

scale = 48 feet / 1 inch

given actual height of a building = 480 feet

let the height on drawing be x inch

thus

48 feet / 1 inch = 480 feet/ x inch

=> x inch/ 1 inch = 480 feet / 48 feet

=> x = 10 feet

Thus, the height of building on the drawing is 10 feet