A scale model of the Washington monument is 18 inches tall and the base is 2.5 inches wide. If the actual monument is approximately 555 feet tall, what is the width, in feet, of the base?

77.1 feet

Step-by-step explanation:

Scale model:

Height = 18 inches

Width = 2.5 inches

Actual monument:

Height = 555 feet

Width = x feet

Write a proportion:

dc=6 square root of 3 and ac is 12 square root 3

c and d

step-by-step explanation:

square root of 3/2 = 18/c

cross multiply to get 18*2=√3*c

36/√3 * √3/√3 = c

c= 36*√3/3

c=12√3

14 ft 7 inches

step-by-step explanation:

since each model inch corresponds to 25 real inches, 7 model inches will correspond to

7×25" = 175"

at 12" per foot, that is 14 feet, 7 inches.