Measurments in real lifeAdeline, Bre and I decided to test our knowledge and figure out how to measure the flag pole. Here is what we were trying to figure out.
→ What is the height of the HTHNC flagpole? → What is the volume? → What is the area? INTRODUCTION & OVERVIEW: We were given the idea to use a protractor with a paperclip and string attached to it then line up the top of the flag pole along the straight edge of the protractor. Once we had the angle from my head to the top of the flag pole, we were able to make a triangle, from my line of sight, to the top of the flag pole, back to my line of sight to/from the top of it which created the form of a triangle. With the given 90 degree angle and the other angle we got from our measurements we were able to determine the last angle from the top of the flag pole to me. From there, we were able to use Tangent and Pythagorean's theorem to find lengths and the height from my head to the top of the flag pole. |
Once we realized we never took into account my height, we decided to add my height to the final height that we obtained from my head to the top of the flag pole.
Finding the volume and area was easier because all we had to do was plug in the
measurements we had already to the given equations.
We didn't have to simplify anything considering that the flag pole was just a cylinder rather than a repeating shape like a pentagon on a soccer ball or something of that nature. However, we did dissect the flag pole into below my height to the ground which created another triangle for us to solve.
Mathematical Process:
To find the height of the triangle from my head to the top of the flag pole we needed to have all of the angles to use Pythagorean's Theorem for all of the distances that we needed. Pythagorean's Theorem is: a²+b²=c². To find the volume of the pole we needed the radius and the height. Before we found the volume, we needed to find the radius and to find the radius we needed the circumference. To find the radius using circumference divided the circumference by 3.14. After we had the radius and the height we could plug in those values to the equation to find volume which is: V = π r²h. Lastly, we wanted to find the area which was the easiest part because we already had the measurements that were required for the equation: A= πr².
Personal Reflection
I think there were some good and some bad things. One we didn't have enough time to prepare because we got stuck in this nasty rut where we couldn't for the life of us get out of, until we plugged in this simple number we were looking at the entire time. That was annoying and we put off a lot of work until the very end. However there are some great things. I had amazing group members and it made it very easy to succeed. Like I said there were some mathematical problems but mostly it was a breeze to work with my group! I really look forward to working with them in the future. I know this is about personal reflections, so I think I did really good, and I put a lot of time into it. I helped a lot with the presentation, and some of the mathematical things. All in all the project turned out pretty good.
Finding the volume and area was easier because all we had to do was plug in the
measurements we had already to the given equations.
We didn't have to simplify anything considering that the flag pole was just a cylinder rather than a repeating shape like a pentagon on a soccer ball or something of that nature. However, we did dissect the flag pole into below my height to the ground which created another triangle for us to solve.
Mathematical Process:
To find the height of the triangle from my head to the top of the flag pole we needed to have all of the angles to use Pythagorean's Theorem for all of the distances that we needed. Pythagorean's Theorem is: a²+b²=c². To find the volume of the pole we needed the radius and the height. Before we found the volume, we needed to find the radius and to find the radius we needed the circumference. To find the radius using circumference divided the circumference by 3.14. After we had the radius and the height we could plug in those values to the equation to find volume which is: V = π r²h. Lastly, we wanted to find the area which was the easiest part because we already had the measurements that were required for the equation: A= πr².
Personal Reflection
I think there were some good and some bad things. One we didn't have enough time to prepare because we got stuck in this nasty rut where we couldn't for the life of us get out of, until we plugged in this simple number we were looking at the entire time. That was annoying and we put off a lot of work until the very end. However there are some great things. I had amazing group members and it made it very easy to succeed. Like I said there were some mathematical problems but mostly it was a breeze to work with my group! I really look forward to working with them in the future. I know this is about personal reflections, so I think I did really good, and I put a lot of time into it. I helped a lot with the presentation, and some of the mathematical things. All in all the project turned out pretty good.