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The Prophet & Moderator

Registered: 06-2007
Posts: 5961
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Re: It can't be true ... can it?


This is a tough one. I'm still working on it.
8/25/2018, 2:56 am Link to this post Send Email to Spikosauropod   Send PM to Spikosauropod
 
Exyooper Profile
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Registered Collector

Registered: 04-2009
Posts: 774
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Re: It can't be true ... can it?


rotate the triangle 60 degrees about the lower left vertex ...

Image

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8/26/2018, 9:26 am Link to this post Send Email to Exyooper   Send PM to Exyooper
 
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The Prophet & Moderator

Registered: 06-2007
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Re: It can't be true ... can it?


Yes, I see it now:

Image
8/26/2018, 9:06 pm Link to this post Send Email to Spikosauropod   Send PM to Spikosauropod
 
Exyooper Profile
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Registered Collector

Registered: 04-2009
Posts: 774
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Re: It can't be true ... can it?


Image

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8/26/2018, 10:11 pm Link to this post Send Email to Exyooper   Send PM to Exyooper
 
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The Prophet & Moderator

Registered: 06-2007
Posts: 5961
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Re: It can't be true ... can it?


I solved it with some kind of brute force trigonometry, but I got 150°.
8/27/2018, 12:34 am Link to this post Send Email to Spikosauropod   Send PM to Spikosauropod
 
Exyooper Profile
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Registered Collector

Registered: 04-2009
Posts: 774
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Re: It can't be true ... can it?


angle DGE = 60 (equilateral triangle)

or

angle DGB = 30 (hypotenuse of 1 height of ½)


from there

triangle DGB & EGB are isosceles ...

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8/27/2018, 8:48 am Link to this post Send Email to Exyooper   Send PM to Exyooper
 
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Registered Collector

Registered: 04-2009
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Re: It can't be true ... can it?


what is the area of the triangle relative to the square?

Image

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8/27/2018, 8:52 am Link to this post Send Email to Exyooper   Send PM to Exyooper
 
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The Prophet & Moderator

Registered: 06-2007
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Re: It can't be true ... can it?


I get 1/3.
8/27/2018, 3:16 pm Link to this post Send Email to Spikosauropod   Send PM to Spikosauropod
 
Exyooper Profile
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Registered Collector

Registered: 04-2009
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Re: It can't be true ... can it?


A man is standing due East of a tower and notes it subtends an angle of 45 degrees with the tower.

He walks South 42.4 feet and the subtended angle is 30 degrees.

How tall is the tower?

(The subtended angle is from the ground to the top of the tower)

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8/27/2018, 6:12 pm Link to this post Send Email to Exyooper   Send PM to Exyooper
 
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The Prophet & Moderator

Registered: 06-2007
Posts: 5961
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Re: It can't be true ... can it?


I get 29.98 ft.
8/27/2018, 11:15 pm Link to this post Send Email to Spikosauropod   Send PM to Spikosauropod
 


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