Multiple choice

The angle of elevation of the top of a tower at a horizontal distance equal to the height of the tower from the base of the tower is -

  1. $30o$
  2. $45o$
  3. $60o$
  4. $75o$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let tower height = h. Observer is at horizontal distance h from base. This forms a right triangle with base = h and height = h. The angle of elevation satisfies tan(θ) = opposite/adjacent = h/h = 1. Therefore θ = 45°. Option A (30°) would require horizontal distance = h√3. Option C (60°) would require horizontal distance = h/√3.

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