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Flag Pole Lab Math 10 2019

Procedure:    

Height of the group member’s eye level : 1.7m

How far away from the flag pole they were standing :4m (add an additional 0.12 m because the base of the flagpole is thicker at the bottom.

The angle of inclination using a clinometer to measure: 60°

Data & Calculations

Results & Conclusion

5. We had quite a few considerations to take while completing this lab. One of the things we had to modify a little bit was the distance in between the person standing and the flagpole because the base of the flagpole was a little bit thicker, so we had to add an extra 0.12m to the distance. Another consideration we had to take was the eye height from which we were measuring, since we needed to add that height to the total height of the flagpole.

6. With most groups that we compared our answer to, their answer was pretty close to ours, so we were quite sure we measured it right. There were a few groups that had a slightly different answer, but the difference was no more than 1m. I think that the reason there were differences was because the clinometers were really hard to read, and everyone had a different angle, since most people just approximated the angle. Other than that, I think we did a pretty good job at accurately measuring the height of the flag pole.

7. Trigonometry can be used to measure very high things, that they cannot measure with a meter stick, or even those things that are too hard to measure. I think that when we measure things that are very high, we can easily determine the distance we are standing from it by simply measuring with a meter stick. Measuring the angle will be harder, but it is possible, with devices like clinometers. So if we have the angle and the distance that we are standing from the object, we know enough information to calculate its height.

 

Infinite Thoughts

What do you know about infinity?

Currently, what I now is that there can be different sizes of infinity, and although it makes your head hurt, it is possible to somewhat calculate infinity. I also know that there is a way to have infinity as a sign in some formulas, however what I do not know is how to calculate the formulas. That is something that I wish to learn.

What new things have you discovered?

Before, all I thought infinity was was just some sort of way to explain the fact that numbers can go on forever, just to not make our brains hurt. Then, I saw it as a sign in a formula and I realized that it actually meant a lot more than just that. What I discovered is that there are many ways to measure infinity. Although it is “infinite” and can go on forever without a clear ending, there are a lot of interesting and mind-blowing ways that I learned that mathematicians have created so that it is easier to calculate infinity.

How can you explain/makes sense of different sizes of infinity?

For me, it is a little easier now to wrap my head around the fact that infinity can be different sizes, so how I make sense of it is that I imagine people just picking up handfuls of numbers, just like when I pick up sand, because the number of sand pebbles are almost, or at least they seem, infinite. I can pick up different sizes of sand handfuls, so that must mean that I can “pick up” many different sizes of infinite numbers, too.

What are countable infinities? What are non countable infinities?

From what I have understood, a countable infinity is basically all the numbers that you can count, or at least the numbers that you can imagine in a pattern (like if you were to double every number, you can imagine the answers). Non-countable infinities are all the other infinities that are usually either impossible to count, or they are so long that it would take forever to figure them out.

What questions do you still have about infinity?

I think that my only question about infinity is how many different was there are to “measure” infinity. I learned quite a few that I though were quite interesting, however I know that with the numerous amount of mathematicians who have tried to count infinity, there must be millions of ways to do it.

Love Poem to Prime Numbers 

The rules of prime (a sort-of Love Poem to prime numbers, written in only haikus)

By Fanny

Only can divide

By itself and a one

Is a prime number


Weird, they said often

That there are forty-six

In one - two hundred


Five and Seven too

Or even Seventeen

Are part of the group


Interestingly,

There aren't many patterns

To make it more easy


Multiples of Three

Are quite easy to find

All is simply:


Add all the digits

That make up the number

Next, look at the sum.


Is it a nice sum?

If it's divisible

By the number Three,


Then you know for sure

That it's a multiple

Of the number Three.


What about the Two?

That rule is much more simple.

Is the number even?


If so, the number

Is divisible by

The nice number Two.


Finally, now comes

The rule for number One.

It is a weird one.


It is not a prime,

It's not a composite,

It's absolutely

NEITHER!
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