1. Warm Up
Find the missing side length
Find the missing angle
55°

2. Angles of Elevation and Depression

3. Ex 4: Find x

4. The Angle of Depression is the angle from the “sky to the line”

5. The Angle of Elevation is the angle from the “ground to the line”

6. Claim: angle of depression = angle of elevation
Why?

7. Suppose an operator at the top of a lighthouse sights a sailboat on a line that makes a 2o angle with the horizontal line.
If the top of the lighthouse is 25m above sea level, what is the distance x between the boat and the base of the lighthouse to the nearest integer? 25 x

8. ALWAYS DRAW A PICTURE!!!
The angle of elevation from point A to the top of a cliff is 38*. If point A is 80 feet from the base of the cliff, how high is the cliff?

9. 2. From the top of a tower, the angle of depression to a stake on the ground is 72*. The top of the tower is 80 feet above ground. How far is the stake from the foot of the tower?

10. 3. A tree 40 feet high casts a shadow 58 feet long
3. A tree 40 feet high casts a shadow 58 feet long. Find the measure of the angle of elevation of the sun.

11. 4. A ladder leaning against a house makes an angle of 60
4. A ladder leaning against a house makes an angle of 60* with the ground. The foot of the ladder is 7 feet from the foundation of the house. How long is the ladder?

12. 5. A kite on a 40-foot string makes a 50. angle with the ground
5. A kite on a 40-foot string makes a 50* angle with the ground. How high above the ground is the kite?