Multiple choice

The angle of elevation of the top of a tower at a distance of 30m from its foot is 45°. The height of the tower is:-

  1. 20m

  2. 30m

  3. 15√2m

  4. 15/√2m
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

In a right triangle formed by the tower, the distance from its foot, and the line of sight: tan(45°) = height/30. Since tan(45°) = 1, we get height = 30m. The 45° angle of elevation creates an isosceles right triangle where the height equals the horizontal distance. Option B is correct.

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