Archive for December, 2009

Justin Sheldon

December 11, 2009

Mid-segment of a triangle———–You would use a mid-segment of a triangle if you were a architect and needing to design a house. If you happened to mess up with the mid-segment of a triangle the house could collapse. It could also make the walls collapse because the mid-segment would not be connecting both sides together, so the walls would have no support, this is why you would us the mid-segment of a triangle if you where a architect, there is a lot more jobs that also use this.

Jeremy Carrion

December 11, 2009

Firemen, construction workers, and other workers often rely on the use of ladders in their line of work. They make use of the Pythagorean Theorem in various situations. For example, the height to a second story window may be 25 feet, and a window cleaner may need to put the ladder ten feet away from the house in order to avoid the bushes or flowers. How long of a ladder does the window cleaner need in order to achieve this task? (25)^2 + (10)^2 = c^2, or the length of ladder needed. 625 + 100 = 725. The square root of 725 is approximately 27, so the window cleaner would need a ladder 27 feet long.

Anna Allberry

December 11, 2009

You can use points of concurrency in triangles for many jobs.  One job is archaeology.  An archaeologist’s job has a lot to do with culture, and the way people used to live.  Archaeologists dig up ancient artifacts, many of which are broken.  To piece these back together perfectly, they can use points of concurrency.  When they use points of concurrency, they find the centers, (centroid, orthocenter, etc.) take each piece, and try to figure out exactly where it belongs in the broken object.  This is just one of the many different jobs that you can use with points of concurrency.

Alexis Beitler

December 11, 2009

Alexis Beitler Period: 5

There are many reasons people may need to know the altitude of buildings.  Pilots need to know the altitude of a building if they are going to be landing on a building, such as the pilots that fly the flight for life helicopter.  This is how pilots use altitude.

Descend to 900 feet above the top of the building about two miles away from your landing zone. Know the altitude of the building, and plan your flight in advance if possible. It is extremely important to position your helicopter to fly directly into the wind. Always know the direction of the prevailing winds, and be prepared to turn 180 degrees in order to land with a head wind.

Lower the collective lever slightly to prepare for a descent. Pull back on the cyclic stick to decrease forward speed. Adjust both the collective lever and cyclic stick simultaneously for a constant decent and decrease in ground speed. Stop your helicopter with zero descent and zero forward speed approximately 3 feet above the exact landing zone on top of the building.

Decrease your ground speed from cruising speed to 80 knots. Lower the helicopter in a gradual descent of 500 feet per minute one mile from the building and your landing zone. Lower the collective lever, pull back on the cyclic stick and input the foot pedal that keeps the helicopter flying in a straight line. Decrease cyclic input slowly to continually lower your ground speed. Increase your collective angle or pitch to avoid descending too fast as you lower your ground speed.

Maintain a constant glide angle by decreasing your ground speed and increasing the power from the engine. Constantly give foot pedal inputs to keep the tail rotor from swinging in the opposite direction of the inputs.

Slow your ground speed to 20 knots when you are 100 yards away from the building and 10 knots when you are 50 yards away from the building. Constantly decrease your forward ground speed as you continue to descend.

 

Maneuver the helicopter into a hover when you are 3 feet directly above the building and your landing zone. Lower the collective with small movements to settle onto the building, and maintain control by applying cyclic or foot pedal inputs to keep the helicopter evenly above your landing zone and parallel to the building without moving forward.

Without knowing the altitude of the building the pilot wouldn’t know how fast or slow to begin going and when to position the jet to get it on the building. Altitdue plays a very important role in the career of Piloting.

Cameron Bargell

December 11, 2009

Real Life Application of the Circumcenter of a Triangle

 

    There are many uses of the circumcenter of a triangle in real life, but most of these revolve around one main thing. That is when your trying to find a main point which is the same distance to three different locations or spots making it most relevent to people.  First of all circumcenter is where three perpendicular bisectors meet at the point of concurrency meaning that spot would be equal to all three vertices or highschools in this example right here. “You are a city planner and you want to find and place a bus garage that would be fair to three different spread out highschools across the town?” How would you do that?  This task would be hard to figure out if you didn’t know geometry and the circumcenter of a triangle. After you experiment and find out the spot that would be equidistant to all three highschools you would have found the circumcenter and solved your problem. Hopefully this real life application of the circumcenter of a triangle may help you when you get into your career.

 

By: Cameron Bargell

Chris Arneson

December 11, 2009
In

 

geometry, the incircle or inscribed circle of a triangle is the largest circle

contained in the triangle; it touches (is tangent to) the three sides.

The center of the incircle is called the triangle’s incenter. 

The incircle can be used to see how big of a circluar object you could

fit into a triangluar shaped room.

[Image]

Zach Wagner

December 4, 2009

  • why do i need to know if two figures are congruent?
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  • construction- you can use congruent figures in construction a lot, for example. If you are
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  • building a bridge you would use congruent triangles to keep the bridge stable and strong, or
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  • if you are building something the two opposite sides have to be congruent or it will be lop-sided.
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  • machinists need to know this because they often make specialized parts or one-of-a-kind items for companies sthat produce everytlhing from carts to computers.
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  • zach wagner p. 5
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Kaitlan Anderson

December 4, 2009

You can use angle additon posulate in photography. Photographers have to line up all the angles on there camera to get the right focus. If they do not there pictures may come out blurry or unfocused. That is one of the many jobs that you use the angle additions postulate.

Abby Hess

December 4, 2009

Why do I need to know how to identify triangles by their sides and anlges?

How steep is this hillside and will it fail? How high is that mountain? These sorts of questions pop up all over in geosciences – from plate tectonics to maps to ocean waves, and they require you to find either an angle or a distance. To do this, we often use geometry, which is much easier when a right triangle is involved.

 

 

 

 

A right triangle (like the one in the figure to the right) has one angle that is 90

°. The other two angles are always less than 90 ° and together add up to 90°. Note that the triangle on the right has 3 angles a, b and c and 3 sides, A, B, and H, and 3 angles a, b, and c. The side “opposite” an angle (in this case) is labeled with a capital letter corresponding to the label on the angle. The side opposite the right angle, H, is always the longest side and is called the hypotenuse.[Image]

Christian Myers

December 4, 2009

Christian Myers

Midsegment

          You can use the midsegment theorem in professional soccer. In soccer you use this when you make triangles to get the ball moving. When one player moves to the center the other two will spread out to keep the triangle. Thus the ball is still moving and is not taken. Once the team gets close enough to the goal the two wings head to the goal post while the forward move in to take the shot he can either pass the ball to the left or right wing. This can be what you would call your midsegment. As long as you keep your distance and don’t go off sides this will work to help you score.