Title: Indirect Measurement
1Indirect Measurement
2CFU 0706.4.10706.1.70706.1.8GLE
0706.2.3SPI 0706.2.7
3Indirect Measurement is a way to find the
measurement of things around you. For
instance, have you ever wondered if the Statue
of Liberty has a nose that is too big?
4Typically, your nose is 1/8 the distance of your
arm. Try to use that ratio to find the answer
about Lady Libertys nose.
You will need a ruler or tape measure for this.
5First measure your arm and your nose.
Write your answers as a ratio
Length of your nose
Length of your arm
Take a look at the next slide.
6Come closer and look at the length of Lady
Libertys arm.
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7Now take the ratio from your measurements and
write the proportion
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8Length of Lady Libertys nose
Length of your nose
x
Length of your arm
9Length of Lady Libertys nose
Length of your nose
x
Length of your arm
Try measuring your arm raised as if you are
holding a torch.
10Length of Lady Libertys nose
1
x
8
Now lets use the ratio that your nose is usually
1/8 of your arm
11 x
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Click once to see the actual size revealed.
12Now lets try to find the height of the Eiffel
Tower.
What I know is that on a sunny day, its shadow
is 328 feet long.
13I know that it takes a fourteen quarters stacked
on top of each other to make an inch. What is
your value in quarters? Would you be worth
more if they were stacked or laid end to end?
14If you have ever seen Jurassic Park, you saw
how big the dinosaurs were compared to the
people. Pretend that they made a large Human to
watch over the animals. What would be the scale
factor if a 64 inch person was made to be 160
feet?
15The scale factor tells you how many times bigger
than normal that person really is. You must
make all units of measure the same.
64 inches
64 inches
64 inches
160 feet
1920 inches
160 x 12
16Now take the
64 inches
And simplify
1920 inches
1/30 inches
This means that the person was created 30 times
his normal size.
17A real car is 6 inches long, while the real car
is 9 feet long. What is the scale of the model?
Remember to put Model on top of the actual
measurement, make them the same unit and
reduce !
1 18
6 inches 108 inches
6 inches 9 feet
18A model car has a scale factor of 1/64
The diameter of a tire on the model of a car is
0.4 inches. What is the diameter of a tire on
the actual car?
The scale means that the car is really 64 times
larger.
So, .4 x 64 25.6
Hint