To solve the problem, we need to identify the angles of elevation and depression in each diagram. Let's analyze each scenario step by step.
Diagram 1:
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Angle of Elevation (X): The angle of elevation is the angle formed between the horizontal line from the observer's eye level and the line of sight to an object above the horizontal. In this diagram, the angle of elevation is the angle at point \( H \) looking up to point \( I \). So, the angle of elevation is marked as \( \angle X \).
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Angle of Depression (Y): The angle of depression is the angle formed between the horizontal line from the observer's eye level and the line of sight to an object below the horizontal. In this diagram, the angle of depression is the angle at point \( I \) looking down to point \( K \). So, the angle of depression is marked as \( \angle Y \).
Diagram 2:
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Angle of Elevation (X): The angle of elevation is the angle at point \( F \) looking up to point \( T \). So, the angle of elevation is marked as \( \angle X \).
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Angle of Depression (Y): The angle of depression is the angle at point \( T \) looking down to point \( F \). So, the angle of depression is marked as \( \angle Y \).
Diagram 3:
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Angle of Elevation (X): The angle of elevation is the angle at point \( E \) looking up to point \( F \). So, the angle of elevation is marked as \( \angle X \).
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Angle of Depression (Y): The angle of depression is the angle at point \( F \) looking down to point \( G \). So, the angle of depression is marked as \( \angle Y \).
Diagram 4:
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Angle of Elevation (X): The angle of elevation is the angle at point \( S \) looking up to point \( T \). So, the angle of elevation is marked as \( \angle X \).
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Angle of Depression (Y): The angle of depression is the angle at point \( T \) looking down to point \( U \). So, the angle of depression is marked as \( \angle Y \).
Final Answer:
\[
\boxed{
\begin{array}{cc}
\text{Diagram 1:} & \text{Diagram 2:} \\
\text{Angle of Elevation: } \angle X & \text{Angle of Elevation: } \angle X \\
\text{Angle of Depression: } \angle Y & \text{Angle of Depression: } \angle Y \\
\text{Diagram 3:} & \text{Diagram 4:} \\
\text{Angle of Elevation: } \angle X & \text{Angle of Elevation: } \angle X \\
\text{Angle of Depression: } \angle Y & \text{Angle of Depression: } \angle Y \\
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of angle of elevation and depression worksheet.