At a distance 2h metre from the foot of a tower of height h meter the top of the tower and pole at the top of tower subtend equal angles. Height of the pole should be
A) \( \Large \frac{5h}{3} m \)
B) \( \Large \frac{4h}{3} m \)
C) \( \Large \frac{7h}{3} m \)
D) \( \Large \frac{3h}{3} m \)
Correct Answer:
A) \( \Large \frac{5h}{3} m \)
Description for Correct answer:
In In \( \Large \triangle ABD, \tan \alpha = \frac{h}{2h} \)
=> \( \Large \tan \alpha = \frac{1}{2} \)
In \( \Large \triangle ABC, \tan 2\alpha = \frac{h+p}{2h} \)