In this project we try to find situations in daily life where geometrical notions can be effectively used. In particular, in the following examples the student discovers situations in which properties of similar triangles learnt in the classroom are useful. Students need to be made aware of the fact that the study of geometry arose in response to certain human needs. They should know about the use of geometry in our daily or real life. In this project, students will discover situations in daily life where geometrical concepts can be used effectively. In particular we find situations where the properties of similar triangles are useful and how to find height and distance of any object with the help of geometry and trigonometry.
Objective
1) To find breadth of a canal/river
2) To find the height of tree/tower
Prerequisite knowledge
1) Properties of similar triangles
2) Knowledge of trigonometry
3) Knowledge of finding height and distance
Methodology
1) to find breadth of a canal/river
a) Fix a pole at point B on the bank of the river directly opposite to a tree A on the other bank, as shown in fig.1.1.
b) Walk a known distance along the bank and fix another pole at C. Walk another known distance to a point D. From D, walk at right angle to the bank till the point P is reached such that P is directly in line with C and A i.e. P ,C & A are in a straight line , as shown in fig. P 11.
c) Measure the distance PD.
RESULT
1) Let BC = a unit, DC= b unit and PD= c
(These are all known distances)
2) Let the breadth of the river be d unit
3) Note that angle s ABC and PDC are similar,
4) Hence, AB/PD=BC/DC:  d/c = a/b:  d =ac/b.
5) Hence the breadth of the river =ac/b units
2) To find the height of a tower/ tree
A). Fix a ruler(in the vertical position) of known height in the shadow of the...
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Polynomial long division
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Science Meets RealLife
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Science Meets RealLife
Scenario 1: You arrive home late at night. You walk up to the front door, unlock it, and reach in to turn on the light switch located just inside the front door. The light does not come on! Now what?
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Have you ever watched an episode of Star Trek and wondered if the possibility of teleportation existed in reallife? Well, the good news is that it’s real! In 2008 for the first time ever in history, a team of scientists from the Joint Quantum Institute (JQI) at the University of Maryland was able to successfully teleport information directly from one atom to another over the...
...in class that pertains to my everyday life would be the cell cycle. Without cells flowing through my body, I would cease to survive on this planet. This however will not affect me in having to change the way I live my life. I will still continue to eat the same foods that I do now, and work out the same as well. The cell cycle enables the cells to eventually divide. This is a very important aspect in life.
The next topic that affects my...
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