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mysteryman said:
Normchacho said:

How so? Mind you that I am including the space between the camera and the begining of the play area.

You have two basic shapes there. The triangle running from the camera to where the play area stops following the cameras viewing angle, and the rectangle that runs from that point to the back of the play area.

The triangle has a total area of 16.7 sqft. (it's made up of two 3.1X5.39 ft. right triangles)

The rectangle is 6.2X4.41 ft. or 27.34 sqft.

For a total area of 44.04 sqft.

BOLD1 - Unsure how you calculated this. Tech specs for the PS4 Eye give an 85° viewing angle.
L_1 = 3.1/(cos(42.5)) = 4.2
A_1 = 6.2x4.2/2 = 13.0 ft^2

BOLD2 - You didn't take into account the 2ft distance of the PS Eye to the play area.
L_2 = 9.8 - (4.2-2) = 7.6
A_2 = 6.2x7.6 = 47.1 ft^2

A_Total = 60.1 ft^2

The headset doesn't require the full viewing angle of the camera.

 

The front of the play area is 2.3 ft or 27.6 inches making a triangle from that line to the camera (24 inches away) gives you an angle of 59.8 degrees

 

27.6/2 = 13.8

13.8^2  = 190.44

24^2 = 576

576+190.44 = 766.44

Square root of 766.44 = 27.68

Sin^-1(13.8/27.68) = 29.9

29.9 * 2 = 59.8

 

If you follow that angle outward from the camera to the point where its lines intersect the rectangle (and are therefore 6.2 feet apart) they intersect 64.7 inches (or 5.39 feet) from the origin.

Giving one large triangle made up of two 3.1X5.39ft right triangles.

 

As for part two, I didn't forget to include anything. The length is 9.8 ft from the camera to the end of the play area as is clearly shown in the picture.



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