Further problems about best viewing position

Form 4 Mathematics

Further problems about best viewing position


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Best viewing position problem

A picture AB is hanging high on a wall CE. A man at P is looking at the picture and wants to have the best view.

In order to do so, the viewing angle APB should be maximized.


Where should he stand in order to maximize the viewing angle? Drag P to find the answer.

When the viewing angle is maximized, what happens to the circle passing through the points A, B and P? Click the button "Show hint" to help you. Can you explain the answer? Sorry, this page requires a Java-compatible web browser.


Suppose a picture AB hanging on a wall is given, can you find a construction, without measurement, so that the best viewing position can be obtained? You can find one answer by clicking the buttons in this diagram.

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Link to the solution done by one of my students


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