If you are 60 inches tall and you cast a 80 inch shadow, how long is a shadow of a building if the shadow is 120 inches?

160 inches

Step-by-step explanation:

20 is 1/3 of 60 and 60+20=80 so

1/3 of 120 is 40 and 120+40=160

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)