2.  In a right triangle, the trigonometric ratios are as follows:  A way to help remember this is: › SOH-CAH-TOA

3. 1.

4. 2.

5. 3.

6. 4. where,,

7. 5. where,,

8. 6. where,,

9.  The angle of elevation is the angle from an imaginary horizontal line and the observer’s line of sight to an object that is above the horizontal line.  The angle of depression is the angle from an imaginary horizontal line and the observer’s line of sight to an object that is below the horizontal line.

10. 7. Mary is flying a kite on a 50-meter string. The string is making a angle with the ground. How high above the ground is the kite?

11. 8. A ladder leaning against the side of a house forms an angle of with the ground. The foot of the ladder is 8 feet from the building. Find the length of the ladder to the nearest foot.

12. 9. The angle of depression to a buoy from a lighthouse 120 feet above the surface of the water is. Find the horizontal distance from the lighthouse to the buoy.

13.  10. Kramer is standing at the edge of the roof of his apartment building. His car is parked on the ground 90 feet away from the building. His line of sight to the car forms a angle of depression. If Kramer is 6.5 feet tall, how tall is the building?

14.  The two special right triangles that we have are and. 45-45-90 Triangle:30-60-90 Triangle: 45-45-90 30-60-90

15. 11.

16. 12.

17. 13.

18. 14.