SECTION -D
1. Case Study: 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, 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 45c.
302
4159
36 m
On the basis of the above information, answer the following questions:
(i) What is the height of the section B?
(ii) What is the height of the section A?
(1)
(iii) What is length of the wire structure from the point O to the top of section A? (1)
(iv) What is the length of the wire structure from the point to the top of section B?
(1)
(v) What is the angle of depression from top of tower to point 0?
Answers
Answered by
3
Answer:
et AB=height of the building=100m
DE=AC=AB+BC=h= height of the tower
∠ADC=60
∘
∠BDC=60
∘
Now
tan30
∘
=
CD
CB
=
d
x
3
1
=
d
x
(1)
tan60
∘
=
CD
CA
=
d
x+100
3
=
d
x+100
(2)
From (1)
d=
3
x (3)
Substituting (3) in (2)
3
=
3
x
(x+100)
3x=x+100
2x=100
x=50
Height of the tower=DE=h=AB+CB=100m+x=100m+50m=150m
Step-by-step explanation:
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