Trigonometry

1. Define/Describe trigonometry (2 pts)
A Math dealing with relationship between angles and sides of a triangle
 Citations- Google definitions
2. Describe some of the early uses. Why was it invented? (3 pts)
First used for navigation and astronomy.  Used to solve triangle problems.
Citations- Google timeline
3. Describe a current use of trigonometry. (3 pts)
Finding distance of stars and measuring distances and heights. Aslo used in architecture and engineering. 
Citations- Google timeline, Wikipedia
4. Find the height of two objects outside. Explain your work. (5 pts)
pole-  tan63=x/7       7tan63=x     x= 19        13.7+5.3(length from eyes down)= 19      Pole=19 feet tall
shop building- tan50=x/10       10tan50=x   x=11.9   11.9+5.3=17.2    Shop building= 17.2 feet tall

Pringle Can

Pringles

R=1.5 in

H=10.5 in

V=74.1 in

SA=113 in

New container- square prism

W=3 in

L=3 in

H=10.5 in

V=94.5 in

Sa=144 in

The new container would not be as good. It would cost more money for the material. The cylinder is a lot less expensive. A oval cylinder would be even cheaper. But for getting peoples hands to fit the square prism is the best option.

This process is important for those people who work in making containers. They need to know how to make something cheap and efficient. The pringles people did a pretty good job. Another person is anyone. If someone wants to fit something into a box, this skill would be handy.

Football Question

How much turf would you have to take to turf a football field?

The dimension of the football field are 360ft x 160ft. The radius of the circle is 88 ½ ft. the width of the whole field is 360ft x 203ft. area of the field. Area of circle is 88 ½ ft² p. That equals 24593.3 ft^2. Area for the rectangle is 360 x 203. That equals 73080 ft². The total area of the field is 97673.3 ft ².


We found that out by taking the measurement of one of the semi-circles. Then we had to take the measurement of the sideline. We then made the semi-circles one circle and found the area of that. Then we found the total length of the rectangle and width. With that we found the area. We added both the areas together to get the total area.

Wed. Sept. 1

Problem 1:

Define area in your own words.

I think area is  everything inside a shape.

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. about 24 cm^2

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

I think this because I added all whole squares up. Then I took the partial ones and added them together. I added both those together and got it.

Problem 3:

What is the area of the figure? 8 acres^2

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

acres

Task 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

In the future this will be a very useful skill. Maybe you need to find the area of a room to see if a couch will fit or something like that. Being able to find area would be a very useful skill for that.