Multiple choice

The angle of elevation of the top of a tower at a distance of 25 m from its foot is 60°. The approximate height of the tower is

  1. 20.3 m

  2. 15.3 m

  3. 36.3 m

  4. 43.3 m

  5. Na
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D Correct answer
Explanation

Height = distance * tan(60) = 25 * sqrt(3) = 25 * 1.732 = 43.3.

AI explanation

Using the tangent ratio for the angle of elevation, the height of the tower equals the distance multiplied by tan(60°). Substituting the given values gives 25 multiplied by √3, which equals 25 multiplied by 1.732. This calculation gives an approximate height of 43.3 m.

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