1. The geometric mean between 2 and 10 is 5. 2. A right triangle problem is presented with missing side lengths for QS, QT, and RT given side lengths of 8, 32, and an unknown side R. 3. A homework problem asks to write trigonometric ratios as fractions and decimals and use special right triangles to write ratios in terms of degrees. It also asks which ratio would be used to find missing side lengths in sample right triangles.

1. Opener:
1. Find the geometric mean between 2 and 10.
2. Find the missing side lengths:
8 R
Q
QS =
QT =
RT = T
32
TS =
S
1

2. Homework Questions:
2

3. 3

4. 8.2 Trigonometric Ratios
s o h
c a h
t o a
4

5. Write the following ratios as a fraction and as a
decimal rounded to the nearest hundredth:
R
sin R =
61
11
cos K =
O K
60
tan R =
5

6. Use a special right triangle to write each
trigonometric ratio:
a. cos 60o b. tan 45o
6

7. Which trigonometric ratio would you use to find the
missing side lengths?
a.
x
24o
14
b.
x
62o
4
c.
20o
x
8.7
7

8. 8.3 Solving Right Triangles
BREAKING NEWS!!!!!
The Titans have stolen our Spartan Helmet and placed it atop of
their flag pole. There are plans to get it back this weekend under
the cover of night. We have a ladder that is 30 feet long and the
flag pole is 24 ft tall. At what angle should we place the ladder so
that it reaches the top of the flagpole? We won't have time for
mistakes so we need to decide ahead of time.
8

9. Use the given trigonometric ratio to determine which angle of the
triangle is
8 in
2
6 in
1 10 in
1. cos A = .8
2. sin A = .6
9

10. Use your calculator to find each angle measure to the nearest degree.
1. sin‐1 (.5)
2. tan‐1(.09)
10