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Sun Shadow Problem Solving Reflection

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In this unit we learned about trigonometric functions which are related to a triangle’s angle/angles (specifically a right triangle) and are used to find the length of a triangle’s side or the side of an object that involves a right triangle. We learned to use an angle of the triangle of find the hypotenuse, the adjacent side, and the opposite side. The right angle is always across the hypotenuse, which is the longest side of a triangle. The opposite is the side that is across from the angle being used to identify such sides. Lastly, the remaining side is the adjacent which is the side right below the same angle being used, or in other words the leg that connects with the hypotenuse to form the angle being used. We also learned about sine, …show more content…

I believe this was an important assignment as we learned about sun shadows and how to find the length of the shadow, which helped us comprehend the unit problem and solve it. We began the lesson by drawing the diagram projected on the board about a sun shadow and learning of what an angle of elevation is. We then labeled what the variables displayed mean: H= height, S= shadow, and 휃(theta)= angle of elevation, and wrote our goal: S in terms of the variables H and 휃. After, Ms. Ceja showed us that the smaller triangles in the diagram had similar angles and sides to the entire diagram. When we finished drawing our model of the small triangle labeled we knew that the equation would be tangent 휃 (opposite over adjacent) as we only knew the height and shadow length. We then set up our equation tan휃 = H/S and began to solve it. In the end we received S= H/ tan휃, thus completing our goal. Finally I selected the assignment “The Statue of Liberty’s Nose” p.261 as my example of Another Favorite. I selected this assignment since it was a fun assignment where we worked with our group to try and find out the size of the Statue of Liberty’s nose by using the limited information that was given to us and by using the length of our arm and nose. As we worked on this fun assignment we were also learning to use ratios in order to find the length of something using small pieces of information and new math

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