Question
Wed March 11, 2015 By: Godson Babuji

The length of shadow of a tower on the plane ground is root3 times the height of the tower.
 
So the angle of elevation of sun is :
  1. 30
  2. 45
  3. 60
  4. 90

  Explain this question with a diagram.  ( where is actually the angle of elevation of the sun) 

Expert Reply
Vimala Ramamurthy
Wed March 11, 2015
C o n s i d e r space t h e space f o l l o w i n g space f i g u r e.
G i v e n space t h a t space t h e space l e n g t h space o f space s h a d o w space o f space t h e space t o w e r space o n space t h e space p l a n e space g r o u n d space i s square root of 3 space t i m e s space t h e space h e i g h t space o f space t h e space t o w e r. L e t space theta space b e space t h e space a n g l e space o f space e l e v a t i o n. F r o m space t h e space g i v e n space s t a t e m e n t comma space B C equals square root of 3 cross times A B rightwards double arrow fraction numerator B C over denominator A B end fraction equals square root of 3 rightwards double arrow fraction numerator B C over denominator h end fraction equals c o t theta rightwards double arrow c o t theta equals fraction numerator B C over denominator h end fraction equals square root of 3 rightwards double arrow c o t theta equals c o t 30 degree rightwards double arrow theta equals 30 degree T h u s space t h e space c o o r e c t space a n s w e r space i s space o p t i o n space left parenthesis 1 right parenthesis.
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