Problem

Explain the difference between an angle of elevation and an angle of depression. Include a diagram with your explanation.

Answer

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Answer

\(\boxed{\text{The angle of elevation is the angle formed between a horizontal line and the line of sight when looking up at an object, while the angle of depression is the angle formed between a horizontal line and the line of sight when looking down at an object.}}\)

Steps

Step 1 :An angle of elevation is the angle formed between a horizontal line and the line of sight when looking up at an object.

Step 2 :An angle of depression is the angle formed between a horizontal line and the line of sight when looking down at an object.

Step 3 :Diagram for angle of elevation:

Step 4 :\(\begin{array}{c} \text{Angle of Elevation} \\ \text{A} \\ \text{/|} \\ \text{/ |} \\ \text{/ |} \\ \text{/ |} \\ \text{/ |} \\ \text{B /_____| C} \end{array}\)

Step 5 :Diagram for angle of depression:

Step 6 :\(\begin{array}{c} \text{Angle of Depression} \\ \text{A _____ B} \\ \text{\ \ \ \ \ \ |} \\ \text{\ \ \ \ \ \ |} \\ \text{\ \ \ \ \ \ |} \\ \text{\ \ \ \ \ \ |} \\ \text{\ \ \ \ \ \ |} \\ \text{\ \ \ \ \ \ C} \end{array}\)

Step 7 :\(\boxed{\text{The angle of elevation is the angle formed between a horizontal line and the line of sight when looking up at an object, while the angle of depression is the angle formed between a horizontal line and the line of sight when looking down at an object.}}\)

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