Atelephone pole cast a shadow that is 37 m long find the height of the telephone pole if a statue that is 33 cm tall cast a shadow 83 cm long ?

The height of the telephone pole is 14.711 m (Approx) .

Step-by-step explanation:

Let us assume that the height be x .

Let us assume that the shadow  be y .

(As the shadow is always proportional to the height .)

Thus

y = kx

Where k is the constant of proportionality .

As given

if a statue that is 33 cm tall cast a shadow 83 cm long .

y = 83 cm

x = 33 cm

Put in the equation y = kx .

83 = 33k

As given

A telephone pole cast a shadow that is 37 m .

Let us assume that the height of the telephone pole be z .

As

1m = 100cm

37m = 3700 cm

y = 3700 cm

x = z

Put in the equation  y = kx .

3700 = zk

Compare the value of k .

z = 1471.1 cm(Approx)

As

                       = 14.711 m (Approx)

Therefore the  height of the telephone pole is 14.711 m (Approx) .

191 students play sports and ninety-seven 10th graders were surveyed.

step-by-step explanation: