A telephone pole casts a shadow that is 12 feet long. At the same time, a man standing nearby who is 6 feet tall casts a shadow that is 2 feet 4 inches long. How tall is the telephone pole to the nearest foot?
The telephone pole is feet tall

31 feets

Step-by-step explanation:

Given that :

Telephone shadow Ts = 12 feets

Man's height, Mh= 6 feets

Man's shadow, Ms = 2 feets 4 inches

Height of telephone, Th =?

Recall :

1 foot = 12 inches

x foot = 4 inches

12x = 4

x = 4/12 = 1/3 inches

Hence, man's shadow = 2 1/3 feets =

Using cross multiplication :

Mh / Ms = Th / Ts

6 / 7/3 = Th / 12

6 / 2.33333 = Th / 12

12 * 6 = 2.33333 * Th

72 = 2.33333 Th

Th = 72 / 2.333333

Th = 30.85

Height of telephone pole = 31 feets

the graph in the attached figure

step-by-step explanation:

we have

using a graphing tool

the graph in the attached figure

the roots are ( x-intercepts) x=-0.5,x=1,x=3

the y-intercept is the point (0,3)