Alexa asked for clarification on her homework question. She was not sure how to do the inverse function on the calculator. I explained, and she got the correct answer. I then sent her a sheet on inverse trig functions, and explained how to work the problems. She has to complete 5 of them on her own by Monday.
We then looked at 10.8 Practice on Inverse Functions. Given a triangle with 2 sides, she had to find one of the acute angles of the triangle. This required her to determine which trig function to use. She could then use the rule of triangle sums to find the 3rd angle of the triangle.
Solving Isosceles Triangles, Angles of Depression & Elevation
Lesson Outline
We continued solving right triangles directly with isosceles triangles, and also word problems with angles of elevation. Alexa is understanding better. We drew a picture of a lighthouse with an angle of depression to a boat. The lighthouse is 175 feet tall. Alexa has to find the distance from the lighthouse to the boat.
Alexa and I continued solving right triangles, this time with an isosceles triangle with an altitude drawn in it to break it into two smaller right triangles. We used facts from geometry, and found all of the side and angle measurements. We also used Trig functions.
We continued using Trig Functions to solve sides and angles of right triangles. I also introduced Alexa to the concept of angles of elevation and depression. We did a problem involving angle of elevation, which is an angle off of a horizontal line (usually the ground). Alexa was able to understand the drawing of an angle of elevation, and to solve a subsequent exercise about the right triangle it made.
Session Minutes
60
Minutes Student Attended
60
Lesson Comments
She came 10 minutes late, but I am being gracious and giving her the entire 60 minutes. I also told her that she needs to come to class, because I don't have enough grades to give her anything other than an incomplete.
