Aboy who is 1.8 meters tall stands 1 meter away from a lamppost and casts a shadow 2 meters long. the height of the lamppost is meters.

the height of the lamppost is 2.7 meters.

Step-by-step explanation:

Proportion states that two ratios or fractions are equal.

As per the statement:

A boy who is 1.8 meters tall stands 1 meter away from a lamppost and casts a shadow 2 meters long.

You can see the diagram as shown below.

by definition of proportion we have;

From the diagram:

height of the boy = 1.8 meter tall , shadow of the boy = 2 meter long, height of the lamppost = h meter and shadow of the lamppost = 1+2 = 3 meter

⇒

Multiply both sides by 3 we have;

2.7 = h

or

h = 2.7 meter

Therefore, the height of the lamppost is 2.7 meters.

good bye

step-by-step explanation:

(x3 + 6x2 + 2x - 6) • (x - 1)

step-by-step explanation:

polynomial long division :

3.2     polynomial long division

dividing :   x4+5x3-4x2-8x+6

                              ("dividend")

by         :     x-1     ("divisor")

dividend     x4   +   5x3   -   4x2   -   8x   +   6

- divisor   * x3     x4   -   x3            

remainder         6x3   -   4x2   -   8x   +   6

- divisor   * 6x2         6x3   -   6x2        

remainder             2x2   -   8x   +   6

- divisor   * 2x1             2x2   -   2x    

remainder               -   6x   +   6

- divisor   * -6x0               -   6x   +   6

remainder                     0

quotient :   x3+6x2+2x-6   remainder:   0