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Solution


Q.

Radio towers are essential for transmitting various communication services, including radio and television. These towers either function as antennas themselves or support one or more antennas on their structure. Following this concept, a radio station tower was constructed in two sections, A and B. The tower is supported by wires extending from a point O.

Distance between the base of the tower and point O is 36 cm. From point O, the angle of elevation of the top of section B is 30 degree and the angle of elevation of the top of section A is 45 degree.

U s e square root of 3 equals 1.73

Based on the above information, answer the following questions:

 

(ii) (b) Find the area of △OPB.
1 375.68 cm2  
2 363.68 cm2  
3 373.68 cm2  
4 -373.68 cm2  

Ans.

(3)

Area of∆OPB:=12×OP×PB=12×36×123=18×123=18×12×1.73=373.68 cm2