The height of a building in an architectural drawing is 10 in. Its actual height is 150 ft. What is the scale of the drawing
Divide the inches and the feet by 10.
1 inch = _______ feet
To determine the scale of the drawing, you need to find the ratio of the height in the drawing to the actual height.
In this case, the height in the drawing is 10 inches, and the actual height of the building is 150 feet.
To find the scale, divide the height in the drawing by the actual height:
Scale = Height in drawing / Actual height
Scale = 10 inches / 150 feet
To perform the division, we need to convert the units to a common form. Since there are 12 inches in a foot, multiply the actual height by 12 to get the equivalent value in inches.
Scale = 10 inches / (150 feet * 12 inches/foot)
Simplify the expression:
Scale = 10 / (150 * 12)
Scale = 10 / 1800
Divide both the numerator and denominator by 10:
Scale = 1 / 180
Therefore, the scale of the drawing is 1:180.