Garden Decor, Gnomes, Statues & Yard Art

A flag pole casts a 10m shadow at the sametime as a 6m statue beside it casts a 2m shadow. What is the height?

of the flag pole?

If you think intuitively you don’t even have to delve too far into the math.

The 6m statue casts a 2m shadow. So the item is 3 times as tall as its shadow.

This ratio should hold for all items. If you have a 10m shadow… how tall is the flag pole? It’s 3 x 10 = 30m.

The long way is to write expressions for the ratios:

Let x be the height of the flag pole in meters.

By similar triangles you have:

x … 6
– = –
10 . 2

Cross multiplying you have:
2x = 60

Then divide both sides by 2:
x = 30

So the flag pole is 30 meters tall.

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