1. Define/Describe trigonometry:
a) Trigonometry- is a part of mathematics that deals with the relationship between sides and angles of triangles and then take those relationships and calculates, called the trigonometric functions.
http://www.thefreedictionary.com/trigonometry
2. Describe some of the early uses? Why was it invented?
a) The primary use of trigonometry in early uses was for operation, cartography, astronomy, and navigation. The old Egyptians looked upon trigonometric functions as features of similar triangles, which were useful in land surveying and when building pyramids. Trigonometry was invented mostly to help operate a sufficient astronomy and navigation system with the use of math.
http://home.c2i.net/greaker/comenius/9899/historytrigonometry/Trigonometry1.html
3) Describe a current use of trigonometry.
a) Trigonometry is know mostly for its application to measurement problems, but can be used such as its place in the theory of music; still other uses are more technical, such as in number theory . Also the mathematical topics of Fourier series and Fourier transforms.
http://en.wikipedia.org/wiki/Uses_of_trigonometry
4) Find the height of two objects outside. Explain your work.
Basketball Hoop:
tan10=x/12 * 12
X= 2.1
25.2 in
48 in
8 in
81.2 in = Height
Sign in parking lot:
Tan40=x/9 * 9
X= 7.6 ft
91.2 in
Height= 147.2
Tuesday, April 26, 2011
Thursday, October 7, 2010
Pringle's Can
Pringle Can Measurements: Height- 10.5 in
Diameter- 3 in
Radius is 1.5 in
Volume of Can: 223.17 in cubed
Surface Area of Can: 113.12 in sq.
New Container: Square prism: with the measurements:
Height 10.5 in
1 Base/Side- 4.5 in
Surface Area of the Square Prism: 215.25 in sq.
How we got these results: We found the measurement of the Pringle Can by using a 12 in ruler and with that we found the height which was 10.5 in and then we measured the diameter of the top and bottom of the can which was 3 in and half of 3 is 1.5 in which is the radius. To find the volume we took the formula of a volume of a cylinder which is pie*radius squared*height which gave us a volume of 223.17 in cubed. To find the surface area we took the surface area formula of a cylinder which is 2*pie*radius squared + 2*pie*radius*height to find the surface area which was 113.12 in sq.
New Container- We picked a square prism because we believed it would be much more easier to get your hand in and out of the can if it was that shape. How we found the measurements of the square prism is we used the same 12 in ruler and kept the same height as the cylinder shape so the height was 10.5 in and then we thought that the width of the cylinder was not big enough for the hand to get in an out of the can easy so we decided to make the width (opening)/1 Base or 1side is 4.5 in. To find the surface area of the prism you must take the top*bottom + right*left + front*back and sense this is a square prism there are 2 sides that look alike so you must take the outcome of top*bottom and take it times 2 and so on for the next one which is right*left*2 and then front*back*2 and then add the outcome of those together and when you do this your total surface area of the prism is 215.15 in sq.
Why is this important to know in life? Many people need to know the skill of learning how to measure surface area and volumes of different prisms and solids. Many of the formulas that you learn in geometry will help you know how to build a house that you might want to construct. These forms will also help with saving money on groceries by knowing/guessing by how much things can be put in a can that has a volume of this much and so on. Learning about formulas of prisms and there volumes and surface areas will help you in the long run in life even if you don't know it! So keep at it!
Diameter- 3 in
Radius is 1.5 in
Volume of Can: 223.17 in cubed
Surface Area of Can: 113.12 in sq.
New Container: Square prism: with the measurements:
Height 10.5 in
1 Base/Side- 4.5 in
Surface Area of the Square Prism: 215.25 in sq.
How we got these results: We found the measurement of the Pringle Can by using a 12 in ruler and with that we found the height which was 10.5 in and then we measured the diameter of the top and bottom of the can which was 3 in and half of 3 is 1.5 in which is the radius. To find the volume we took the formula of a volume of a cylinder which is pie*radius squared*height which gave us a volume of 223.17 in cubed. To find the surface area we took the surface area formula of a cylinder which is 2*pie*radius squared + 2*pie*radius*height to find the surface area which was 113.12 in sq.
New Container- We picked a square prism because we believed it would be much more easier to get your hand in and out of the can if it was that shape. How we found the measurements of the square prism is we used the same 12 in ruler and kept the same height as the cylinder shape so the height was 10.5 in and then we thought that the width of the cylinder was not big enough for the hand to get in an out of the can easy so we decided to make the width (opening)/1 Base or 1side is 4.5 in. To find the surface area of the prism you must take the top*bottom + right*left + front*back and sense this is a square prism there are 2 sides that look alike so you must take the outcome of top*bottom and take it times 2 and so on for the next one which is right*left*2 and then front*back*2 and then add the outcome of those together and when you do this your total surface area of the prism is 215.15 in sq.
Why is this important to know in life? Many people need to know the skill of learning how to measure surface area and volumes of different prisms and solids. Many of the formulas that you learn in geometry will help you know how to build a house that you might want to construct. These forms will also help with saving money on groceries by knowing/guessing by how much things can be put in a can that has a volume of this much and so on. Learning about formulas of prisms and there volumes and surface areas will help you in the long run in life even if you don't know it! So keep at it!
Friday, September 10, 2010
Football Field!!
1. Dimensions of the football field: Length- 120 yds Width- 53 1/3 yds total area of the football field.
2. Dimensions collected: 80 ft length from the field goal to the track 22 ft the width from the field sideline to the track.
3. Area of the football field is 63,720 sq. ft or 21,240 sq. yds. So We got the area of the football field from taking 120x53 1/3 The area of dimensions collected is 89106.193 sq yds. and 2970.06433 sq ft by taking 80 to find the area of that and then multiplying it to 22ft.
4. We used the units of Feet and coverted it back to yards in feet!!
5. 66,690.0643 sq ft or 110,346.193 sq yds.
2. Dimensions collected: 80 ft length from the field goal to the track 22 ft the width from the field sideline to the track.
3. Area of the football field is 63,720 sq. ft or 21,240 sq. yds. So We got the area of the football field from taking 120x53 1/3 The area of dimensions collected is 89106.193 sq yds. and 2970.06433 sq ft by taking 80 to find the area of that and then multiplying it to 22ft.
4. We used the units of Feet and coverted it back to yards in feet!!
5. 66,690.0643 sq ft or 110,346.193 sq yds.
Thursday, September 2, 2010
Area Homework!
Problem 1. Define Area in my own words:
Area is a quantity expressing the two-dimensional size of a defined part of a surface, typically a region bounded by a closed curve.
Problem 2:
Area is a quantity expressing the two-dimensional size of a defined part of a surface, typically a region bounded by a closed curve.
Problem 2:
1. 1. What is the area of this irregular figure? (Assume each square is 1 cm x 1 cm)
Don’t forget the label.
18 sq. cm
18 sq. cm
2. 2. List your thought processes. (This should include 3-5 sentences.)
My thought process consisted of looking at the irregular figure and finding the full squares. After finding the full square then find the half squares and put them together to make another square to create a full square to count it as one. This process keeps continuing till there are no more pieces to make it a full square.
My thought process consisted of looking at the irregular figure and finding the full squares. After finding the full square then find the half squares and put them together to make another square to create a full square to count it as one. This process keeps continuing till there are no more pieces to make it a full square.
Problem 3.
1. What is the area of this irregular figure:
7 sq. ft.
7 sq. ft.
2. What label do you think you’d use if this is a small pond? A small lake?
Feet most likely because it is a small pond and maybe Yards if it was a small lake.
Feet most likely because it is a small pond and maybe Yards if it was a small lake.
Problem 4: Explain why it would be important to know how to find the area of a figure (regular or irregular). This should be 3-5 sentences
It is important to know how to find the area of a figure when it is a regular or even a irregular. Why this is because regular figures are used for graphs and geometry consisting of science and construction sites so you must find what the area is of each regular figure to start the project. Irregular figures on the other hand are used all the times and a lot of objects are irregular like in problem 3 the lake is irregular so for people who study the environment around the lake might what to know how big this lake is and etc.
Subscribe to:
Posts (Atom)