A tower stands vertically on the ground. From a point on the ground, the angle of elevation of the top of the tower is 60^\circ. If the distance from the point to the foot of tower is 27 m, find the height of the tower. (Take \sqrt{3} = 1.7)

  1. A. 25.65 meters
  2. B. 45.9 meters
  3. C. 22.95 meters
  4. D. 43.2 meters

Correct Answer: B. 45.9 meters

Explanation

Let height be h. \tan(60^\circ) = \frac{h}{27} \Rightarrow h = 27 \times \sqrt{3}. Using \sqrt{3} = 1.7, h = 27 \times 1.7 = 45.9 m.

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