# Geometry for more distance between a dresser to a bed.

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The distance from the far wall to the back of the closed door = 11 feet. I was hoping for 12 feet (144 inches). Actually we need 140 inches.

The width of the upright dresser is 36 inches and the bed 74 inches and the fully opened door of 30 inches = 140,

If the dresser is turned to the side and open fully the left door of the dresser it's 28 inches so 8 inches gained. The bed is 74 inches. I assume the door is a standard 30 inches wide. If we put the back of the dresser against the far wall and open the door fully then we have then used 28 of the 132 inches (11 feet). Then the bed which adds 74 inches. So at this point the dresser doors and drawers will open as desired and the bed in place and we have used 28+74 inches = 102.

If the door is 30 inches wide then it appears the door can be opened fully and we are using 132 inches which is the full 11 feet but it could be tight if the home owner measured the 11 feet correctly. Since nothing much is gained by opening the door fully (since all that will be there is the foot of the bed) we can gain some inches by only opening the door by "x" number of degrees. I took geometry and so forth but I do not recall the formulas.

With the door fully opened it's 90 degrees from the door frame. If we open the door 45 degrees from fully opened or even 60 degrees, how many inches would we gain so the bed and dresser are not having to touch each other but still the door can be opened far enough to enter the room. The only reason a fully opened door would be needed would be in the case of needing to bring large items out of the room.

So how many inches can we gain by not fully opening the door? Maybe a calculation with the door opened 1/2 way (45 degrees) or 2/3 way (60 degrees). Thanks.
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Top Expert 2016
Commented:
The math not withstanding, in this day and age it's often easier to use an online tool.  Try the site below, and use the section: Calculator 4 - You know the hypotenuse and one angle and using 30" as the hypotenuse (the door width), and the angle you want to find how far into the room the door will reach...

A couple of the basic results (60 would be the swap of 30):

45 degress = 21.2", 21.2"
30 degress = 15", 26"

Right Triangle Calculator and Solver

»bp

Commented:
thanks

Commented:
If you want to do it manually, just remember: sohcahtoa (soak-a-toa) and insert "=", "/", " " repeatedly to end up with:
s=o/h c=a/h t=o/a
As in...