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More on lampshades from a cone 2019-12-14
Guy pose la question :
from an earlier post re; lampshade from a cone
Being math ignorant I cannot figure out how this equation makes sense

\[\frac{2\pi \times 33 - 2\pi \times 20}{2\pi \times 33} = \frac{13}{33}\]
imagine these as fractions multiplied by 360 to calculate a section of a circle to form a cone
Thx

Penny Nom lui répond.
A stained glass cone lamp 2016-04-09
Edwin pose la question :
In making a 16" dia. cone lamp (stained glass), how many square feet of glass do I need.
Penny Nom lui répond.
conical lamp stand/staved wood 2013-12-07
Henry pose la question :
need to make lamp stand that is wooden staved; need it to be 25 inches at bottom and 10 inches at top; need to know angles for staves to be cut; the lamp stand will be rounded on a lathe and will be 40 inches tall John Lucas built one and it is pictured on his web page. thank you for any help/direction; I checked out the answered for cone shaped objects on your page but didn't find what I could use. thanks again. Henry--woodturner, parent teacher student . . . . .
Harley Weston lui répond.
A lamp shade 2012-05-15
Fleur pose la question :
I am helping my child make a cone lampshade, the measurements are as follows in "cm's"
21 cm = height
8 cm = top diametre
40 cm = bottom diametre

Please could you give the pattern (cut out) dimensions for final cut.

Penny Nom lui répond.
A stained glass lamp 2011-07-25
Guy pose la question :
Like Kay, I also work in stained glass, but in 3-dimensions. I am frequently asked to replicate lamp shades in stained glass where the diameter of the top is different (narrower) from the diameter of the bottom (which is wider). Some people want 5, 6, 7, 8, 10, 12, 16, ,,, n-sided shades. Is there a formula I can use to determine the width of the sides using the angle, if I remember correctly, I think it's called theta. In other words, is there a formula where I can plug in the angle which describes the arc of the circle. For instance, if someone asks for a 7 sided shade, plugging in 51.43 (360/7). I could then use that to determine the width at the top and bottom rings to create the appropriate trapezoids. I've visited a few sites so the formula looks like its a function of sin & cos but they are presented like proofs for teaching. Your site appears to want to actually answer questions without making the inquirer feel stupid.
Harley Weston lui répond.
The height of a lamp 2011-01-13
Dorothy pose la question :
I need to find the lamp height with casting shadow (base line of triangle where a boy 1.6m tall stands 3m from base of street lamp and has a 2m shadow. In other words, think of a right angle triangle with zero height starting at left, then 2m to right stands boy (1.6m high). Angle (hypotenuse) increases up to top of street lamp with 'x' height and 3m base.
Penny Nom lui répond.
Related Rates (streetlamp and shadow) 2007-11-09
Casey pose la question :
A street light is mounted at the top of a 15ft pole. A man 6ft tall walks away from the pole at a rate of 5ft per second. How fast is the tip of his shadow moving when he is 40ft from the pole?
Stephen La Rocque and Penny Nom lui répond.
How many locations for the lampposts are possible? 2007-01-21
Madeeha pose la question :
Maria's backyard has two trees that are 40 feet apart, as shown in the accompanying diagram. She wants to place lampposts so that the posts are 30 feet from both of the trees. Draw a sketch to show where the lampposts could be placed in relation to the trees. How many locations for the lampposts are possible?
Penny Nom lui répond.
A lampshade shape 2006-02-11
Rose pose la question :
Is there a solid shaped like a lampshade? Or do you just call it the bottom portion of a cone?
Penny Nom lui répond.
A lampshade from a cone 2002-11-26
Ellsie pose la question :
I need to make a pattern to cover an old lampshade. This is actually the bottom portion of a cone. Please help me figure out how to draw this pattern, so that we can complete our project.
Penny Nom lui répond.
The height of the lamppost 2001-10-02
Werner pose la question :
I am working on question 51,section 3.7 ,page 191 of Stewart's Single Variable Calculus. The question involves a lamp post which is casting a shadow around the eliipse whose formula is x2 + 4*y2 = 5. I have found the derivative of the elllipse both explicitly: x/4(((5-x2)/4)0.5) and implicitly : y' = - x/(4*y).
Harley Weston lui répond.
Height of the lamp 2000-12-31
Joey pose la question :
The figure shows a lamp located three units to the right of the y-axis and a shadow created by the elliptical region x2 + 4y2 < 5. If the point (-5,0) is on the edge of the shadow, how far above the x-axis is the lamp located?
Harley Weston lui répond.
A lampost and its shadow 2000-12-24
Laura pose la question :
A lamppost line EC casts a shadow line AC. A 30 cm ruler line DB has been moved from A so that it's shadow falls just within the shadow of the lamppost.
  1. Suppose the length of the ruler's shadow is 42 cm. What is the slope of the imaginary line AE?

  2. Suppose the lamppost's shadow is 15 m. long. How tall is the lamppost?

Penny Nom lui répond.
 
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