4-26-11 Trigonometry

4-26
On your blog, answer the following questions. Please post by 4-29.
Do NOT plagiarize. Please summarize AND use citations. Provide enough detail!!!!!

1. Define/Describe trigonometry (2 pts)
2. Describe some of the early uses. Why was it invented? (3 pts)
3. Describe a current use of trigonometry. (3 pts)
Citations for each one above: 2 pts

4. Find the height of two objects outside. Explain your work. (5 pts)

*CHECK THAT YOU DID ALL 4 STEPS!!!!

1. Trigonometry is math studying triangles and the angles and sides of a triangle.

http://en.wikipedia.org/wiki/Trigonometry

2. Euclid and Archimedes looked at chords of angles and created formulas. Islamic mathematicians used trigonometry for spherical geometry. Used for astronomy.

http://en.wikipedia.org/wiki/Trigonometry

3. Architecture could use trigonometry because they deal with triangles as roofs and walls of houses and stuff like that.

http://mathworld.wolfram.com/Trigonometry.html

http://en.wikipedia.org/wiki/Uses_of_trigonometry

4. Light pole- 7ft from the pole and the angle was 60 degrees. My eyes are 59 inches from the ground. This means that tan(60)=x/7 ----->the light pole is 12.12 feet tall.

Tree- We were 12 ft from the tree and the angle was 7 degrees. And it was 60 inches to our eyes from the ground. This means you would use tan(7)=x/12 -----------> the tree is 32.97 feet tall.

PIZZarea 10-6-10

I went to http://www.giordanos.com/menu.html and used the prices and sizing for their thick cheese pizzas. We had to find the are of each size, how many times more pizza, and the price per square inch of the three sizes.

Small is a 10 in diameter pizza, it costs $13.45- the area is 78.54 square inches

Medium is a 12 in diameter pizza, it costs $17.00- the area is 113.1 square inches

Large is a 14 in diameter pizza, it costs $19.25- the area is 153.94 square inches

The medium pizza gets you 1.44 times more pizza than the small. The large pizza gets you 1.36 times more pizza than the medium and 1.96 more pizza than the small.

The small pizza is $.17 per square inch. The medium pizza is $.15 per square inch. The large pizza is $.13 per square inch.

Our result are that the Large pizza gets you more pizza for your money. We found this by dividing the larger pizza by the smaller pizza. To get the price per cent we divided the price by the area. if you are getting pizza the larger one is cheaper. It is only 15 cents per square inch.

It is helpful to know how to find the area. It can help you save money. It can help you get the most for your money. If you didn't know how to find the area, you might end up buying something that would seem cheaper but really isn't. Area is also important because it could help you with your job in the future.

9-10-10 Area of the inside of the track!!

Option 2: Continue the football question for yesterday. Collect all the measurements needed to figure out how much field turf would be needed to cover the football field (and surrounding grass).

Include the following in your blog:

Dimensions of the football field (1 point)

Dimensions collected (3 points)

Areas of the polygons-include work (5 points)

Units you used (1 point)

Final answer (2 points)

Write 3-10 sentences describing your thought process. Give enough details so that it is evident that you understand the concept of area. (8 points)

Due Monday

The dimensions of the football field is 360 feet by 90 feet.

The dimensions we collected were the amount of space on the sides of the football field before the track. They were each 20 feet. Length of the playing field, and width of playing field.

The area of the rectangle part of the field is 46,800 square feet. The area of the circle is 4,225 pi which is about 13273.23 square feet.

We did length of the field 360ft x 130 ft width of entire turf =46,800 square feet. Then radius of the circle 65 x 65 x pi= 13,273.23 square feet. Then added them together for the grand total of: 60,073.23 square feet.

We converted everything to feet for measuring the field.

The amount of turf Mr. Trudo need is about 60,073.23 square feet.

9-1 geo area assignment

Answer the following questions in your blog. Please copy the images into the blog so that others can follow your work.

Problem 1:

Define area in your own words.

1. Area is the amount of space an object takes up.

Problem 2:

1. What is the area of this irregular figure? (Assume each square is 1 cm x 1 cm)

Don’t forget the label.

2. List your thought processes. (This should include 3-5 sentences.)

1. The area of the figure would be about 30 cm squared.

2. The area of the figure is about 30 cm squared. I would say this because it is about the size of a 5cm by 6cm rectangle. Parts of it extend outside that rectangle, but other parts are not inside the rectangle. That is why I say 30 cm squared would be a good estimation for the area.

Problem 3:

What is the area of the figure?

What label do you think you’d use if this is a small pond? A small lake?

1. I would say the area of this lake would be about 9 units squared. I saw that it made a 2by3 cm rectangle, and there were about 3 additional boxes. 6 +3 is 9 so that is why I would say 9 units squared is the area.

2. If this were a small pond I would use feet or yards as the measuring unit. If it were a small lake I would use yards or maybe even miles.