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Verified Answer :

syed514

it should have to be 13.3

Answer:

\(The\ height\ of\ the\ poll\ is\ \frac{40}{3}\ ft\ and\ 13.3\ ft .\)

Step-by-step explanation:

Let us assume that the Height of an object be h.

Let us assume that the shadow of an object be y.

(As shadow is always proportional to height .)

Thus

\(y \propto h\)

y = kh

As given

when a person 5 ft. tall has a shadow of 6 ft.

h = 5 ft and y = 6 ft

Put in y = kh

6 = 5k

\(k = \frac{6}{5}\)

As given

A telephone pole has a shadow of 16 ft.  

Let us assume that the height of the pole be x.

h = x and y = 16 ft

16 = hk

\(k = \frac{16}{x}\)

Compare the value of k.

\(\frac{6}{5} = \frac{16}{x}\)

\(x = \frac{16\times 5}{6}\)

\(x = \frac{80}{6}\)

\(x = \frac{40}{3}\ ft\)

or

x = 13.3 ft

\(Therefore\ the\ height\ of\ the\ poll\ is\ \frac{40}{3}\ ft\ and\ 13.3\ ft .\)




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