Example 33

A mirror 3 m in height is hung on a wall with its lower edge being 1 m. above the level of the observer’s eye. If the angle subtended by the mirror at the observer’s eye is maximum, find the distance from the mirror.

Solution :

Let the mirror AB subtend an angle of q at the observer O. Let OC = x

    \ q = Ð AOC - Ð BOC

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Index

5.1 Tangent And Normal Lines
5.2 Angle Between Two Curves
5.3 Interpretation Of The Sign Of The Derivative
5.4 Locality Increasing Or Decreasing Functions 5.5 Critical Points
5.6 Turning Points
5.7 Extreme Value Theorem
5.8 The Mean-value Theorem
5.9 First Derivative Test For Local Extrema
5.10 Second Derivative Test For Local Extrema
5.11 Stationary Points
5.12 Concavity And Points Of Inflection
5.13 Rate Measure (distance, Velocity And Acceleration)
5.14 Related Rates
5.15 Differentials : Errors And Approximation

Chapter 6