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The Balcony Scene

Math brain teasers require computations to solve.

 

Puzzle ID:#20861
Fun:*** (2.25)
Difficulty:*** (2.92)
Category:Math
Submitted By:Sane*****
Corrected By:cnmne

 

 

 



You are a scenery creator for plays and you have just been asked to create the Balcony for Romeo and Juliet.

The stage is 7m from the floor to the spotlights.
The balcony has to be a full circle (the other half will act as a platform for the actors waiting on the other side of the wall).
The balcony floor is 30cm thick.
The balcony needs a 1m(height) x 10cm(thickness) solid fence surrounding the perimeter of the half that will be seen by the audience.
The floor of the balcony must be exactly 4m from the ground.
The balcony is like so in order for the spot light (that shines at a 45 degree angle to the roof) will cover the entire balcony precisely when it is positioned above the middle of the balcony.
Pine is cheap at exactly $1 per 5000cm^3, tax included.

Exactly how much money will you spend to build the balcony?

Conversions:

100cm = 1m
2.54cm = 1inch

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