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If two towers of heights h1 and h2 subtend angles 30° and 60°, respectively at the mid-point of the line joining their feet, then h1 : h2 is
  • a)
    1 : 2
  • b)
    1 : 3
  • c)
    2 : 1
  • d)
    3 : 1
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
If two towers of heights h1 and h2 subtend angles 30° and 60°,...
Let's assume that the heights of the two towers are h1 and h2, and they subtend angles 30° and 60° respectively.

We can use the tangent function to determine the heights of the towers:

tan(30°) = h1 / d (1)
tan(60°) = h2 / d (2)

Here, d represents the distance between the observer and the towers.

Now, we can solve these two equations simultaneously to find the values of h1 and h2.

From equation (1), we have:
h1 = d * tan(30°)

From equation (2), we have:
h2 = d * tan(60°)

So, the heights of the two towers are:
h1 = d * tan(30°)
h2 = d * tan(60°)
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If two towers of heights h1 and h2 subtend angles 30° and 60°, respectively at the mid-point of the line joining their feet, then h1 : h2 isa)1 : 2b)1 : 3c)2 : 1d)3 : 1Correct answer is option 'B'. Can you explain this answer?
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