Honors Geometry; 2/23

We went over our final topic in chapter 8 today by studying how to solve right triangles.  This involves finding all the sides and angles of a given right triangle.  Trig ratios, triangle angle sum theorem, and the pythagorean theorem are all used to go through this process.  We also reviewed a few more examples of how to set up trig ratio application problems and the drawings that go with them.  The students then got started working on their review sheets.

Assignment:  Chapter 8 review sheet

Chapter 8 Test on Monday, Feb. 27

Answers to 2nd page of Review Sheet #1

We went over the first page of the review sheet in class on Friday.

22.  x = 4 radical 2;  y = 4 radical 6;  z = 8 radical 2
23.  a.  r/t        b.  r/s        c.  s/t             d.  r/t
24.  cos 41 = y/15;    sin 49 = y/15
25.  tan 26 = 20/y;    tan 64 = y/20
26.  sin 40 = 8/y;     cos 50 = 8/y
27.  tan angle 1 = 8/5
28.  cos angle 1 = 6/10
29.  sin angle 1 = 7/25
30.  15 meters

Solving Right Triangles page

9.  AB = 17.9;  angle A = 63.4 degrees;  angle B = 26.6 degrees
13.  angle Z = 62.5 degrees;  XZ = 17.8;  XY = 15.8
15.  angle D = 59 degrees;  DE = 10.5;  DF = 20.4
18.  229.4 meters
19.  height going up:  21.8 ft;  height going down = 42.0 ft;  total height = 63.8 ft



Answers to review sheet #2

Special Right Triangles page

1.  acute
2.  obtuse
3.  acute
4.  right
5.  not possible
6.  right
7.  right
8.  obtuse
9.  right
10.   x = 11;  y = 11 radical 2
11.  x = radical 2;  y = 2
12.  x = 5;  y = 5
13.  x = 40;  y = 20 radical 3
14.  x = 3 radical 3;  y = 6 radical 3
15.  x = 4 radical 2
16.  x = 7 radical 3;  y = 60
17.  x = 2 radical 3 over 3;   y = 2 radical 3;  z = 4;  v = 4 radical 3 over 3
18.  8 radical 3
19.  24 radical 2
20.  30

Sine, Cosine, and Tangent Ratios page

1.  12/13
2.  5/13
3.  12/13
4.  12/5
5.  5/12
6.  5/13
7.  .0523
8.  .8660
9.  1.1106
10.  .9816
11.  19 degrees
12.  61 degrees
13.  68 degrees
14.  50 degrees
15.  36 degrees
16.  39
17.  12
18.  19
19.  48
20.  34
21.  x = 44;  y = 57
22.  x = 17;  y = 11

Trigonometry Application Problems

1.  24.1 km
2.  26.0 meters
3.  about 74 degrees
4.  a.  8.5 degrees   (about 9 degrees)      b.  about 4.7 feet
5.  angle A = 35.4 degrees;  angle C = 54.6 degrees;  side AB = 15.5
6.  angle Z = 31 degrees;  side XY = 12.6;  side YZ = 24.5