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When the sun's altitude changes from 30° to 60°, the length of the shadow of a tower decreases by 70m. What is the height of the tower?
  • a)
    35 m
  • b)
    140 m
  • c)
    60.6 m
  • d)
    20.2 m
  • e)
    160 m
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
When the suns altitude changes from 30° to 60°, the length of ...

Let AD be the tower, BD be the initial shadow and CD be the final shadow.
Given that BC = 70 m, ∠ ABD = 30°, ∠ ACD = 60°,
Let CD = x, AD = h
From the right ΔCDA


Substituting this value of x in eq : 1, we have
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