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Quiz of the Month (June 2007)

Hector C. Parr

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SOLUTION TO LAST MONTH'S QUIZ


   1.  2.16 cm2
   2.  1.68 cm2
   3.  0.64 cm2

Notes.
  In triangle ABF, AF = 5 (Pythag.)
  Triangle AJE is similar to triangle ABF
  So AJ/AE = AB/AF = 4/5
         So AJ = 2.4
  Similarly AK = 3.2
        and EJ = 1.8
        and BK = 2.4
          (etc.)

THIS MONTH'S QUIZ


A warning sign in the form of an equilateral triangle stands vertically on level ground with its base aligned due East-West. Find the three angles of the triangle formed by the sign's shadow in the following cases:

1. When the sun is due South at an altitude of 60o.

2. When the sun is due South-West at an altitude of 45o.

***

© Hector C. Parr (2007)

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