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Browse High School Practical Geometry
Stars indicate particularly interesting answers or
good places to begin browsing.
 Planar Approximation: Latitude and Longitude [04/18/2003]

I am trying to calculate the midpoint between cases of legionella and
their nearest neighbor. How can I calculate the distance between two
points below which they can be treated as if they were in a plane
rather than on a sphere?
 A Practical Use for the Orthocenter [03/07/2001]

Does the orthocenter of a triangle have any practical uses?
 Pyramid Construction [05/24/1997]

How do you figure out the angles necessary to construct a pyramid out of
plywood?
 A 'Pyramiddle' Tent Problem [07/12/1999]

Figure out an equation that yields d when values for h and r are
inserted.
 Radius of an Arch [05/25/1998]

Is there a formula to calculate the radius of a circle given the chord
length and the distance from the centre of the chord to the circle?
 Ratios and Geometry [10/29/1998]

An airplane flying at 33,000 feet has a visibility of 100 miles. What
percent of the total land area to the horizon is visible?
 Ratios, Geometry, Trigonometry [06/10/1999]

A homeschool teacher asks for help with triangles, flagpoles, and
circles.
 Rectangle Needed To Make Cone [9/5/1996]

I want to make a lampshade by rolling a piece of paper into a nonclosed
cone shape...
 Reflective Properties of a Semicircular Mirror [05/16/2000]

What are the reflective properties of a semicircular mirror? Will a ray
exit a semicircular mirror parallel to its entry line?
 Resolving Pitch and Yaw [02/10/2003]

Is there an equation to find the resultant of pitch and yaw?
 Reuleaux Curve Applications [05/25/2002]

What is the Reuleaux curve used for?
 Rhumb Lines and Great Circle Routes [09/24/1998]

Can you explain great circles and rhumb lines and how they relate to
shortest distances in geometry?
 Roof Rafters [02/03/1997]

What is the formula that gives the length of a roof rafter if only the
pitch of the roof is known?
 Rotating a Plane about a Point in Space [07/03/2004]

Discussion of a method of rotating the three points of a right
triangle around a point to align with a given plane in a particular way.
 Scanning for Mountains [06/02/1999]

I am standing on a hill scanning the horizon to see a mountain. How high
must the mountain be for hightech optical equipment to be any use?
 Segment of an Ellipse [09/06/2001]

We often use horizontal oval tanks for storing drinking water and fuel,
and we would like to be able to calculate the contents.
 Setting Sun [5/19/1995]

A fellow Naval retiree and I have been discussing whether the sun appears
to set faster at the horizon near the equator than it does in the
northern latitudes...
 Sextant Theorem [05/13/2001]

What mathematical theorem is behind using a sextant, and can it be
proved?
 Side Length of Octagon Inscribed in Square [9/11/1996]

I have a piece of square plywood (48" on a side) and I would like to cut
an octagon out of the middle. What is the side length of the octagon?
 Sixteensided Window [08/05/1997]

I would like to make a sixteensided window for the second floor hallway
of my twin girls' playhouse.
 Sizing a Connector [06/01/2001]

I have to come up with a specific diameter for anywhere from 2 to 91
diameters that are bunched together. The application is round wires.
 Spine Doctoring: Fitting Some Books on a Shelf, Finding a Textbook in Error [02/08/2016]

An adult student and Doctor Peterson go back and forth on a textbook
problem about how many books a bookcase can hold. Together, they puzzle
over how to interpret the question and how to model the scenario,
before ultimately concluding that the textbook authors made a mistake.
 Spiral Baffle in a Cylinder [6/24/1996]

We have a cylinder, 48 inches in diameter, to put a spiral baffle
inside... What would the radius be?
 Surveyor's Formula [06/05/1999]

Can you give me a method to calculate the area of an irregular polygon
given all the coordinates of the points?
 Swimming Pool Volume [02/28/2002]

What formula would I use to calculate the volume in gallons of a swimming
pool 135' x 70' with different depths of 3', 5', 8' and 11'?
 Tanker Bearings [06/11/2000]

From ship A, the bearing of an oil tanker is 300 degrees; from ship B,
1000 m due west of A, the bearing of the tanker is 060 degrees. Is the
oil tanker the same distance from A as from B?
 Tape Measure Markings [8/11/1997]

What is the small diamond on all tape measures that occurs every 19.2
inches for?
 Teaching about Bearings [06/08/2000]

What are bearings? Do you have any ideas on how I can present bearings to
my math class in an interesting fashion?
 Tiling a Floor [06/30/1999]

How many square yards is a 12ft. by 15ft. room? How many 8" x 8" tiles
would you need for a 30 sq. ft. room?
 Tipped and Partially Filled Frustum [12/14/2003]

A vessel in a plant where I work is the frustum of a cone on its side.
A liquid is contained in this section and pours out the end of the
cone section, therefore the liquid only takes up a certain portion of
the cone's volume. How can I compute the volume of the liquid?
 Total Area of Multiple Objects [07/18/2002]

I have 6 windows and want to know the total square feet. Do I compute
the areas separately, or add the dimensions and use those to compute
the area all at once?
 Triangular Garden [03/18/1997]

Find the length of a fence that runs from the right angle to the
hypotenuse and separates the garden into two parts of equal perimeter.
 Truncating a Square to Get an Octagon [10/13/2003]

I want to make an octagon by cutting the corners off of a square.
Where do I make the cuts?
 Using Geometry to Make a Roof [8/30/1995]

I'm not a student but a wood worker with a question on solid geometry. I
want to know how to calculate the angle on the sides of triangles in
order to form a cone shaped (not round but angular) roof.
 Variable Volumes in an Oblate Spheroid [12/21/2002]

We need to know how much water is in the tank at any given time.
 Volume of a Cylindrical Tank [2/3/1995]

I have to keep an inventory of how much is kept in a farm of tanks
outside my school. The tanks are cylindrical, which would be no problem
if they were standing on end...
 Volume of a Pond [2/1/1995]

I need to have a large pond cleaned at my place of employment. The pond
is completely filled with waste material and I would like to know how
many cubic yards are in the pond to remove.
 Volume of Dirt [09/29/1997]

You have a mound of dirt that is 2 meters high with a bottom radius of 1
meter...
 Volume of Liquid in a Cylindrical Tank [05/08/2000]

How can I calculate volume of liquid in a cylinder that's not full and
lying horizontally?
 Volume of Partially Full Cylinder on its Side [12/31/2001]

I am in charge of ordering fuel for our company, and the way the owner
calculates the volume is via a grossly simplified percent full
guesstimation...
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