This document contains: 1. Questions and examples about solving right triangles using trigonometric functions like tangent and finding missing angles and side lengths. 2. Practice problems asking students to solve right triangles and find missing measures. 3. Examples of using angles of elevation and depression to find heights and distances, such as finding the height of a windmill or a tree using shadow lengths.

1. Opener: Find all the items requested below.
A
2
B C
3√3
1. AC 2. tanA = 3. mLA =
1

2. Section 8.3: Solving Right Triangles (continued)...
How can we solve for missing angles???
A
2
B C
3√3
2

3. Homework Questions:
3

4. 4

5. Now let's solve for all of the missing measures.
E 14 D
58o
EF = _____
F
FD = _____
m<D = _____
5

6. 6

7. Practice: With your partners complete the two problems below. Raise
your hand when you're done.
Solve the right triangle. Round your answers to the nearest hundredth
when appropriate.
1. A
6
71
B C
2. A
2
B C
11
7

8. Section 8.4: Angles of Elevation and Depression
8

9. 9

10. A tiny little ladybug is sitting in the shade under a plant that is 80 ft
from the base of a windmill. The ladybug has a friend who is sitting at
the very top of one of the arms of the windmill getting ready to take a
ride when the wind picks up. The angle of elevation from the ladybug
to his friend is 25 degrees.
How tall is the windmill? How far away from his friend is the ladybug?
10

11. A tree makes an angle of depression with the sun of 65
degrees and a shadow of 72 ft. How tall is the tree?
11

12. A kite is flying at an angle of elevation of about 40
degrees.
All 80 m of string have been let out.
Ignoring the sag in the string, find the
height of the kite to the nearest 10 m.
12

13. Mr. Monkey is extremely hungry and wants to get the bananas he's
spotted up in a tree first. The problem is that he knows his crazy sister is
only 80 feet away from the bananas and Mr. Monkey is afraid that she
will get there first. If Mr. Monkey sees the bananas at an angle of
elevation of 22 degrees and he is 8 feet closer to the ground than the
bananas, how far from the bananas is he? Will he beat his sister to them?
13

14. Couch
Floor ?
Jack the cat was sitting on a couch 2 feet off the ground when he
spotted something on the floor behind him in the kitchen. Jack
himself is 1.5 feet tall when he stands on his hind legs. He looks
at the mysterious object with an angle of depression of 15
degrees. How far away from the object is he???
14

15. 15