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CBSE Class 10 Maths (Standard) 2023 · Paper 30/6/1 · 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 Sections A and B. Tower is supported by wires from a point O. Distance between the base of the tower and point O is 36 m. From point O, the angle of elevation of the top of the Section B is and the angle of elevation of the top of Section A is .
O P A B 36 cm 45° 30°
Radio tower in two sections with angles of elevation from O
  1. (i)Find the length of the wire from the point O to the top of Section B.[1]
  2. (ii)Find the distance AB. OR Find the area of .[2]
  3. (iii)Find the height of the Section A from the base of the tower.[1]

Answer

m; height of A m; m

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