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Warm Up Find the missing side length Find the missing angle.

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Presentation on theme: "Warm Up Find the missing side length Find the missing angle."— Presentation transcript:

1 Warm Up Find the missing side length Find the missing angle

2 HW Check – 3.1 (pgs 1 & 2)

3 Angles of Elevation and Depression

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

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

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

7 From the top of a lighthouse the angle of depression to a boat is 2 degree.
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 degrees. 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 degrees. 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° 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 degrees angle with the ground
5. A kite on a 40-foot string makes a 50 degrees angle with the ground. How high above the ground is the kite?


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