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The angles of elevation and depression of the top and bottom of a lamp post from the top of a \(66 \ m\) high apartment are \(60^{\circ}\) and \(30^{\circ}\) respectively. Find (i) the height of the lamp post. (ii) the difference between height of the lamp post and the apartment. (iii) the distance between the lamp post and the apartment.
 
Answer:
 
(i) The height of the lamp post \(=\)  \(m\)
 
(ii) The difference between height of the lamp post and the apartment \(=\)  \(m\)
 
(iii) The distance between the lamp post and the apartment \(=\)  \(m\)
 
(Note: Round off the answers to \(2\) decimal places.)