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CBSE Class 10 Math 2023 All India Set-1 Solved Paper

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Question : 37 of 38
Marks: +1, -0
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 OO.
Distance between the base of the tower and point OO is 36 cm36\,\mathrm{cm}. From point OO, the angle of elevation of the top of the Section BB is 30∘30^{\circ} and the angle of elevation of the top of Section AA is 45∘45^{\circ}.
Based on the above information, answer the following questions :
(i) Find the length of the wire from the point OO to the top of Section B.
(ii) Find the distance ABAB.
OR
Find the area of â–³OPB\triangle \mathrm{OPB}.
(iii) Find the height of the Section A from the base of the tower.
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