A telephone pole casts a shadow that is 29 m long. Find the height of the telephone pole if a statue that is 38 cm tall casts a shadow 78 cm long.

Let the height of the telephone pole be h.
[tex]\frac{h}{29}=\frac{38}{78}[/tex]
[tex]h=\frac{38\times29}{78}=14.128[/tex]
The height of the telephone is 14.128 m

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keshavgandhi04 keshavgandhi04 · Answer 2 · 2022-08-20T07:45:35+02:00

The height of the telephone pole will be around 14.128 meters long.

What is the similarity?

Similar figures are those figures which are identical in shape, but not necessarily in size.

Two squares with sides of 10 and 5 are similar because their shape is exact but the size is different.

Another example is all circles are similar circles.

The ratio of corresponding sides of similar objects is always the same.

Given,

Height of statue = 38 cm

Length of the shadow of the statue = 78 cm

Length of telephone pole shadow = 29 meter

Let's say the length of the telephone pole = x meter

Then,

By similarity rule,

Length of pole / shadow of pole = lenght of statue / shadow of statue

x / 29 = 38/78 ( we dont need to balance units in ratios)

x = 29(38/78)

x = 14.128 meter.

Hence "The height of the telephone pole will be around 14.128 meters long".

To learn more about similarity,

https://brainly.com/question/23620710

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