Apole 3 m high has a shadow 5 m long when the shadow of a nearby building is 110 m long. how tall is the building?

which of the following proportions could be used to solve the problem?

3/110 = x/5
3/x = 110/5
x/3 = 110/5

C.

Step-by-step explanation:

Let x be the original height of building.

We have been given that a 3 meter pole has a shadow 5 m long. The shadow of a nearby building is 110 m long.

To find the original height of building we will use proportions as proportion states that two fractions are equal.

So we can set a proportion using our given information.

Upon substituting our given values in above equation we will get,

Therefore, the equation could be used to find the actual height of building.

(n^3 - n)

= n(n-1)(n+1)

since it is divisible by 3 and 2 ,because it is a multiple 3 consecutive number

if, n-1 is odd then n+1 is also odd, then it is a multiple of 9

but if, n-1 is even then n+1 is also even, then it is a multiple of 4

so, largest multiple = max(9*2, 4*3) = max(18, 12) = 18