Radio towers are used for transmitting a range of communication services including radio and television. The tower will either act as an antenna itself or support one or more antennas on its structure. On a similar concept, a radio station tower was built in two Sections A and B. Tower is supported by wires from a point O.
Distance between the base of the tower and point O is 36‌cm. From point O, the angle of elevation of the top of the Section B is 30∘ and the angle of elevation of the top of Section A is 45∘.
Based on the above information, answer the following questions :
(i) Find the length of the wire from the point O to the top of Section B.
(ii) Find the distance AB.
OR
Find the area of △OPB.
(iii) Find the height of the Section A from the base of the tower.