1. Aim: What is trigonometric function?B
Do Now: Given ∆ ABC, find
Sin A
Cos A
Tan A c a
in terms of a,b and c C A b
HW: p.357 # 8,10,14,15,16,17,18

3. C
Given an equilateral triangle ABC, CD is the height and bisects the base AB making two congruent right triangles
Show that: A D B

4. Given ∆ABC, A = 30, B = 60 Find the ratio of Sin A Cos A Tan A B C

5. ∆ABC is an isosceles right triangle, Find the ratio of Sin A Cos A
Tan A C A

6. 30
45 2 1
45
60 1 1
There are two special right triangles that have a fixed ratio on three sides:
30- 60 - 90  - 45 - 90

7. If BC = 6, Find the length of a) AB b) AC
60 6 A
30 C
If BC = 6, Find the length of a) AB b) AC B
60 8 A
30 C
From the diagram, find the length of AC and BC

8. From the diagram, find the length of AB and AC
45
From the diagram, find the length of AB and AC 3
45 A C A
From the diagram, find the length of AC and BC
45 10
45 B C

9. The angle of elevation from a point 25 feet from the base of a tree on level ground to the top of the tree is 30°. Which equation can be used to find the height of the tree?

10. A surveyor needs to determine the distance across the pond shown in the accompanying diagram. She determines that the distance from her position to point P on the south shore of the pond is 175 meters and the angle from her position to point X on the north shore is 32°. Determine the distance, PX, across the pond, rounded to the nearest meter.

11. The accompanying diagram shows a ramp 30 feet long leaning against a wall at a construction site.
If the ramp forms an angle of 32° with the ground, how high above the ground, to the nearest tenth, is the top of the ramp?

12. Find, to the nearest tenth of a foot, the height of the tree represented in the accompanying diagram.