Nt1310 Unit 3 Assignment

This unit's main goal was to use similar triangles to measure the length of a shadow. While using the variables D, H, and L, we have figured out a formula to measure a shadow's length. In order to do this though, everyone had to learn the basic concepts of similarity, congruence, right triangles, and trigonometry. Similarity and congruence were two very important factors because they helped us learn about angles and the importance of triangles. Similarity was a key to find out how to use proportions to figure out unknowns (such as in HW7). Once similarity was learned we moved on to congruence where we learned proof and how to show others what is truth by giving them accurate facts based on previous truths. If similar triangles share enough
This problem was solved by making a proportion of her to nose to my nose and ‘x' over the length of my leg. X being the Statue of Liberty's leg. Or there was another proportion that would work just as well. Liberty's nose over her leg (x) and my nose over my leg. After everyone solved this assignment, all of the answers were different because people have different noses and legs. This assignment taught us all how to set up proportions and solve for unknowns, of course this was something that we used a lot afterwards and used to solve for the final
In Homework 23 we had to use trigonometry and proportions to find how far Smokey the bear was from the forest fire and how far away Shredding Charlene was from the cliff. To solve these problems I had to use either tangent, sine or cosine in a proportion with one of the given sides of the right triangle that could be found in the problem. Exterior Angles and Polygon Sums was about learning the significance of out side angles that nobody ever really pays attention to. It was a reminder that if you extend the lines of the angles there are whole new sets that can also be used to make that same congruent shape. Using that information, we were able to make an equation that calculates the total degrees in any polygon. These outside angles had no real connection to the shadow unit problem. More About Angles shows just how important angles are to all polygons, especially triangles. Angles are mostly what decide the shape of triangles. This activity was about grouping similar angles from a set of parallel line with another line intersecting both of them. This activity had an important connection to figuring out the final shadows equation because we put the problems in terms of triangles and triangles are heavily linked with angles. After all, triangles do mean three