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The outline of a sign for an ice-cream store is made by

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Eternal Intern
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The outline of a sign for an ice-cream store is made by [#permalink] New post 16 Jul 2003, 06:55
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18. The outline of a sign for an ice-cream store is made by placing of the circumference of a circle with radius 2 feet on top of an isosceles triangle with height 5 feet, as shown above. What is the perimeter, in feet, of the sign?

I want you to find the angle measure of the bottom two angles and the top angle. The isosceles triangle splits up into two 30:60:90 right triangles. But how does ETS maintain the 30:60:90 ratio?

It looks exactly like the description; the file is too big, rats.
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Re: Nerdy Question: ETS's fishy ratio 30:60:90 [#permalink] New post 07 Jun 2006, 20:57
Curly05 wrote:
18. The outline of a sign for an ice-cream store is made by placing of the circumference of a circle with radius 2 feet on top of an isosceles triangle with height 5 feet, as shown above. What is the perimeter, in feet, of the sign?

I want you to find the angle measure of the bottom two angles and the top angle. The isosceles triangle splits up into two 30:60:90 right triangles. But how does ETS maintain the 30:60:90 ratio?

It looks exactly like the description; the file is too big, rats.


I DONOT THINK THAT THE angles of the triangle are in 30:60:90 ratio cuz the sides of smal triangle(s) are in 2:5:sqrt(29) ratio. this ratio doesnot fall under nither 30:60:90 nor 45: 45: 90 combination.

p = 2 [pi + sqrt(29)]
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Re: Nerdy Question: ETS's fishy ratio 30:60:90 [#permalink] New post 07 Jun 2006, 23:24
Curly05 wrote:
18. The outline of a sign for an ice-cream store is made by placing of the circumference of a circle with radius 2 feet on top of an isosceles triangle with height 5 feet, as shown above. What is the perimeter, in feet, of the sign?

I want you to find the angle measure of the bottom two angles and the top angle. The isosceles triangle splits up into two 30:60:90 right triangles. But how does ETS maintain the 30:60:90 ratio?

It looks exactly like the description; the file is too big, rats.


I am pretty sure curly's question is incomplete. I think this is the complete version:

the outline of a sign for an ice-cream store is made by placing 3/4th of the circumference of a circle with a radius 2 feet on top of an isoceles triangle with height 5ft..what is the perimeter ,in feet , of the sign?

1) 3pie+3root3 2)3pie+6root3 3)3pie+2root33 4)3pie-3root3 5)4pie+6root3

Clue - Think ice-cream cone :)
Have solved it :devil
Re: Nerdy Question: ETS's fishy ratio 30:60:90   [#permalink] 07 Jun 2006, 23:24
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