A 4-ft vertical post casts a 12-in shadow at the same time a nearby cell phone tower casts a 118-ft shadow. How tall is the cell phone tower?

height of vertical post = 6ft

its shadow = 20 in

For all shadows cast at the same time, the ratio of the height of a shadow-casting structure to the length of its shadow is the same. (Assuming, of course, that it's the sun casting the shadows.)

So the ratio is  

4 feet / 12 inches = 4 feet / 1 foot = 4/1 = 4,

and if h is the height of the cell tower,

h/122 feet = 4

h = 4 x 122 feet = 488 feet. < Final answer

Hope I helped,

-Adrian Velez

Step-by-step explanation:

(2x + 16) + (x) = 180

step-by-step explanation:

given,

abcd is a quadrilateral inscribed in a circle

angle a is labeled x plus 16, (x + 16)

angle b is labeled x degrees, (x)

angle c is labeled 6x minus 4, (6x – 4)

angle d is labeled 2x plus 16, (2x + 16)

what equation can be used to solve for angle b?

we know that the sum of the opposite angles of a simple quadrilateral inscribed in a circle is 180 degrees.

angle b is opposite angle d

therefore, angle b + angle d = 180

(x) + (2x + 16) = 180 

same as (2x + 16) + (x) = 180

i think the amount would be $140.62