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ᐅ Distance from the bed? (1.20 m) with knee wall height of 1.00 m and roof pitch of 38°

Created on: 7 Mar 2017 12:38
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Waldifix
Original post
Hello dear building community

It has been quite a while since school math, so I just can’t seem to figure out the correct calculation for the bed distance.

What distance from the wall do I have for the head of a bed that is 1.20m (4 feet) high, with a knee wall height of 1.00m (3 feet 3 inches) and a roof pitch of 38°?

Thanks in advance for your help
Climbee7 Mar 2017 13:30
#7
So, do you have the drawing?

Then accurately draw the 1.20m (4 feet) line parallel to the floor, see where it intersects with the roof slope, draw the vertical drop line down, and measure to the wall!
You only need a simple ruler for this, no protractor...
Musketier7 Mar 2017 13:35
#8
The mathematical calculation is performed using the tangent.

Tangent of the angle = opposite side (height) / adjacent side (distance)
TAN 38° = 20cm (8 inches) / x

Rearrange the formula to solve for the distance (x)

x = 20cm (8 inches) / TAN 38°
x = 25.6cm (10 inches)
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Waldifix7 Mar 2017 14:06
#9
Thanks, now the electrical planning can continue or is nearly complete.
Climbee7 Mar 2017 15:14
#10
Wow, Musketeer, can you calculate the tangent in your head???

Ms. Dipl.-math. Climbee is deeply impressed and bows respectfully!
Musketier7 Mar 2017 17:28
#11
Climbee schrieb:
Wow, Musketier, can you calculate the tangent in your head????

Ms. Dipl.-math. Climbee is very impressed and respectfully bows!

Unfortunately not in my head.
I admit, I even had to double-check whether to use sine or tangent, but thanks to Wikipedia and the Windows calculator in scientific mode, it was quickly calculated.

Off topic:
I used to really enjoy math and regularly won at math competitions. But starting in 11th grade advanced classes, I somehow missed the practical connection, and that’s when the joy of math disappeared.