module-3-Angles-of-Elevation-and-Depression (1).pptx

angle

1. Angles of Elevation

2. Angle of Elevation The angle of elevation is the angle from the horizontal up to the line of sight from the observer to an object above.

3. Steps in solving problems involving angle of elevation

4. Illustration: Solution: Θ = 34.44° 34.44°

5. Example #2 Illustration: Solution: Therefore, the height of the building is 74.89 ft.

6. A 5 feet tall man flies a kite with a 100-foot string. The angle of elevation of the string is 52°. How high off the ground is the kite? How far away is the man from the spot directly under the kite? Example #3

7. The Seattle Space Needle casts a 67- meter shadow. If the angle of elevation from the tip of the shadow to the top of the Space Needle is 70º, how tall is the Space Needle? Example #4

8. Angle of Depression The angle of depression is the angle from the horizontal down to the line of sight from the observer to an object below.

9. Example: Angle of Depression     tan   °   °   Shift °  

10. From the top of a fire tower, a forest ranger sees his partner from the ground at an angle of depression of             Example: Angle of Depression

11. Find the value of x.          

12. From the top of a vertical cliff 40 m high, the angle of depression of an object that is level with the base of the cliff is 30˚. How far is the object from the base of the cliff, in meters?