Radio towers are used for transmitting a range of communication ervices including radio and television. The tower will either act as an antenna itself or support one or more antennas on its structure, including microwave dishes. They are among the tallest human-made structures. There are 2 main types: guyed and self-supporting structures. 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 section B is 30c and the angle of elevation of the top of section A is 45°.
On the basis of the above information, answer any four of the following questions:
(i) What is the height of the section B?
a) 12 √3 m
b) 12 √2 m
c) 8 √3 m
d) 4 √2 m
(ii) What is the height of the section A?
a) 12(2 - √2)
b) 24(2 - √2)
c) 12(3 - √3)
d) 24(3 - √3)
(iii) What is the length of the wire structure from the point O to the top of section A?
a) 32 √2 m
b) 24 √3 m
c) 28 √3 m
d) 36 √2 m
(iv) What is the length of the wire structure from the point O to the top of section B?
a) 12 √3 m
b) 24 √3 m
c) 28 √3 m
d) 16 √3 m
(v) What is the angle of depression from top of tower to point O?
a) 30°
b) 45°
c) 15°
d) 75°
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What is the length of the wire structure from the point O to the top of section A
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