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14 answers

25 feet

I divided the known length of a shadow by the known height

20 divided by 4 = 5 5 being the length of shadow per foot of height

Then divide the 125 foot shadow by 5 and you get the unknown height, which is 25 feet.

2006-07-20 00:05:16 · answer #1 · answered by JackJester 5 · 0 1

625. If a 4ft pole casts a 20 ft shadow, then you would divide 20 by 4, which gives you 5. You then multiply 125 by 5, thus giving you

625. Easy.

2006-07-20 07:07:11 · answer #2 · answered by Guppy Geek 5 · 0 0

This is an example of similar triangles. Similar triangles are the same shape, but a different size. This means that every side is a constant ratio to the same side in the similar triangle.

In this example, we have two right angled triangles. As both measurements are taken at the same time of day, the angle of the sun will be the same, which confirms that they are similar triangles.

Compare the two lengths of the shadows, the shadow from the tower is 6.25 times as long as the shadow from the pole. This means that the towers, triangle is the pole's triangle enlarged by a factor of 6.25. Thus the height of the tower is the height of the pole times 6.25, or 25 feet.

2006-07-20 07:17:33 · answer #3 · answered by tgypoi 5 · 0 0

This is a proportion problem involving similar triangles. Similar tringles are the same shape, but not the same size.
Two right angle triangles has the same shape, but one triangle larger than the other.

4/x = 20/125

20x is the means
4 X 125 is the extremes

Multiply the means and the extremes

20 x = 500

20x/20 = 500/20

divide 20 from both sides

x = 25

The answer is x = 25

The solution set is {25}

The height of the pole is 25 feet

2006-07-20 15:44:00 · answer #4 · answered by SAMUEL D 7 · 0 0

The tower is 25 feet tall.
If a 4 ft pole is casting 5 times its shadow at that time
than the height of tower
125/5 = 25

2006-07-20 07:09:59 · answer #5 · answered by Anonymous · 0 0

you multiply 125 by 4, then divide the answer by 20 and you get 25.

The answer is a 25 ft. shadow

2006-07-20 07:05:40 · answer #6 · answered by surf_jayme 3 · 0 0

x/125 = 4/20 i believe would be the right way of getting there by using cross multiplication. I believe it would work like this 125x4= 500. 500/20=25. so the tower should be 25 feet tall.

2006-07-20 07:10:02 · answer #7 · answered by Stephen 3 · 0 0

Times 5. Look, 5 times 4 is 20, therefore we multiply 125 times 5 as well. I thought you were guy messing around but I seen you were a girl and I know my wife has trouble with this stuff too. Though, she may be acting the classic blonde; all 'oh help me' as she wiggles.

2006-07-20 07:04:57 · answer #8 · answered by smile 3 · 0 0

2 triangles... x/125 = 4/20

x = (125 * 4) / 20

= 25 ft

the triangles are similar

2006-07-20 07:07:49 · answer #9 · answered by anguimorph87 1 · 0 0

the 4ft pole creates a shadow 5 times its size so u have to divide 125ft by 5..

2006-07-20 07:04:58 · answer #10 · answered by ScarletSky 2 · 0 0

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