14 A picture TB that is 1 metre tall is hung on a wall so that its bottom edge B is 3 metres above the eye E of a viewer. Let the distance EP be x metres, and 1 m В let 0 be the angle that the picture subtends at E. a Show that 0 = tan- – tan-. 3 m b Show that 0 is maximised when the viewer is 2v3 metres from the wall. c Show that the maximum angle subtended by the picture at E is tan-1 . Ε x P

14 A picture TB that is 1 metre tall is hung on a wall so that its bottom edge B is 3 metres above the eye E of a viewer. Let the distance EP be x metres, and 1 m В let 0 be the angle that the picture subtends at E. a Show that 0 = tan- – tan-. 3 m b Show that 0 is maximised when the viewer is 2v3 metres from the wall. c Show that the maximum angle subtended by the picture at E is tan-1 . Ε x P

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter2: Equations And Inequalities

Section2.7: More On Inequalities

Problem 44E

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