To solve the problem, we need to determine whether each angle labeled \( \angle A \) in the given images illustrates an
angle of elevation or an
angle of depression. Let's analyze each image step by step.
Definitions:
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Angle of Elevation: The angle formed between the horizontal line and the line of sight when looking up at an object.
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Angle of Depression: The angle formed between the horizontal line and the line of sight when looking down at an object.
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Image 1:
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Description: A helicopter is flying above a house, and the line of sight from the helicopter to the house forms \( \angle A \).
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Analysis: The helicopter is higher than the house, so the line of sight is downward. This is an
angle of depression.
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Answer: Angle of depression
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Image 2:
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Description: A person is standing on the ground and looking at a volleyball that is below them. The line of sight from the person to the volleyball forms \( \angle A \).
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Analysis: The person is higher than the volleyball, so the line of sight is downward. This is an
angle of depression.
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Answer: Angle of depression
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Image 3:
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Description: A hot air balloon is floating above a person on the ground, and the line of sight from the person to the balloon forms \( \angle A \).
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Analysis: The hot air balloon is higher than the person, so the line of sight is upward. This is an
angle of elevation.
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Answer: Angle of elevation
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Image 4:
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Description: A boat is sailing on water, and the line of sight from the boat to a point on the shore forms \( \angle A \).
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Analysis: The boat is lower than the point on the shore, so the line of sight is upward. This is an
angle of elevation.
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Answer: Angle of elevation
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Image 5:
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Description: A bird is flying above a tree, and the line of sight from the bird to the tree forms \( \angle A \).
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Analysis: The bird is higher than the tree, so the line of sight is downward. This is an
angle of depression.
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Answer: Angle of depression
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Final Answers:
1. Angle of depression
2. Angle of depression
3. Angle of elevation
4. Angle of elevation
5. Angle of depression
Boxed Answer:
\[
\boxed{
\begin{array}{ll}
1. & \text{Angle of depression} \\
2. & \text{Angle of depression} \\
3. & \text{Angle of elevation} \\
4. & \text{Angle of elevation} \\
5. & \text{Angle of depression} \\
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of angles of elevation and depression worksheet.
