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CBSE Class 10 Maths (Standard) 2024 · Paper 30(B) · Question 37

Some Applications of Trigonometry 4 marks Hard
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 stations A and B (B vertically below A). The tower is supported by wires AO and BO from a point O on the ground. Distance between the base C of the tower and the point O is 36 m. From O, the angles of elevation of the tops of station B and station A are and respectively. Based on the above, answer the following questions :
  1. (i)Find the height of station B.[1]
  2. (ii)Find the height of station A.[1]
  3. (iii)(a)Find the length of the wire OA.[2]
  4. (iii)(b)OR Find the length of the wire OB.[2]

Answer

(i) The height of station B is m m; (ii) The height of station A is m; (iii)(a) The wire m m; OR (iii)(b) The wire m m.

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