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Indirect Measurements by Kimberly Fuentes

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Kimberly Fuentes

on 23 May 2014

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Transcript of Indirect Measurements by Kimberly Fuentes

Method #2
Indirect Measurements by
a group from Period 6

Our Purpose
We will be calculating the height of an object that is too tall to measure directly. We chose a pole that is part of a pull up bar from the apparatus in the track. We will use 3 methods of indirect measurement to measure the same object, This will allow us to compare our answers and determine whether our methods are reliable.
Method #1
Method #1 Proportion
Liz's shadow Liz's height
Method #2 Proportions
Liz's Shadow Liz's Height
Similar Triangles Applied
#Indirect Measurements
Method #3
Measuring pole's shadow!
Measuring Liz's
Pole's Shadow Pole's height
98 in. 62 in.
111 in x
x = 70.20 in.
Pole's Shadow Pole's Height
98 in. 62 in.
111 in. x
x= 76.09 in.
Method #3 Proportions
Liz's Shadow Liz's Height
Pole's Shadow Pole's Height
92 in. 62 in.
130 in. x
x = 87.60 in.
Results Comparison
Method #1
Method #2
Method #3
The group and I believe that all three methods are reliable because maybe they all didn't give us the exact same answer but they were very close.
My group and I decided that indirect measurements are useful because we need them for constructing buildings, making huge windows, and etc. They help us calculate things that we need to use in our everyday life.
Yes, we do think the methods are reasonable and useful and we did find one global connection. for example, let's say that an organization is making houses for people from anywhere like maybe Africa. They will need these measurements to measure the wood and things related to that sort in order to build.
Created by:
Kimberly Fuentes
Estela Soriano
Lizette Robles
Origins of Indirect Measurements
A man named Thales is known as the
first Greek scientist, engineer, and
mathematician. Legend says that
he was the first to determine the
height of the pyramids in Egypt by
examining the shadows made by
the Sun. He considered three points:
the top of the objects, the lengths of
the shadows, and the bases.
Indirect measurement
allows you to use properties of similar polygons
to find distances or lengths that are difficult to measure directly. The
type of indirect measurement Thales used is called
shadow reckoning.
He measured his height and the length of his shadow then compared it
with the length of the shadow cast by the pyramid
In this method for indirect measurement the value of a quantity is obtained from measurements made by direct methods of measurement of other quantities linked to the object being measured and by a known relationship.
The solving part is shown in the diagram. Which we'll show next.
This is method #2 the mirror method. The angles of the reflection in
the mirror are the same so the
triangles are similar by AA
You can use the distances on
the ground and the height of
the person to find the height of the pole we used. Next you'll see our diagram.
Overlapping Triangles. Made by a person standing in the path of the object's that is being measured shadow

Completed: Feb. 27, 2014
Our Statement:
The methods seem to be reliable, BUT we didn't get the exact same answers for each one. Despite that this is our first time, I think we did a great job because the results were approximate to one another.
Measuring distance
from Liz's shadow to
Measuring distance
from pole's shadow to
7.25 ft.
5.85 ft.
6 ft. and 4 inches
Full transcript