Instructions.
Use the simulation to explore the relationship between height, distance, and the angle:
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The Most Common Mistake: Look at the top angle (in red). Notice that it is drawn strictly outside the main vertical triangle. Why is it incorrect to place the angle of depression between the vertical cliff and the blue line of sight?
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The Geometry "Cheat Code": Look at the blue angle at the target on the ground. This is the angle of elevation from the target to the observer. What do you notice about its value compared to the angle of depression?
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Change the Altitude: Drag the Observer (the blue eye) up and down the y-axis to change the height. If the angle remains the same, what happens to the distance of the target on the ground?
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Adjust the Angle: Use the slider to make the angle of depression larger (steeper). Does the target move closer to the base of the cliff or further away?