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Heights and Distances Practice Test 2
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© examsnet.com
Question : 20
Total: 24
A radio transmitter antenna of height 100 mstands at the top of a tall building. At a pointon the ground, the angle of elevation ofbottom of the antenna is 45° and that of thetop of the antenna is 60°. What is the heightof the building?
100 m
50 m
50
(
√
3
+
1
)
m
50
(
√
3
−
1
)
m
None of these
Validate
Solution:
👈: Video Solution
Let BC be a building of height h metre and CD = 100 m be the height of the antenna.
In ΔABC,
tan
45
°
=
h
x
⇒
x
=
h
In ΔABC,
tan
60
°
=
100
+
h
x
⇒
√
3
=
100
+
h
h
⇒
h
=
100
(
√
3
−
1
)
×
(
√
3
+
1
)
(
√
3
+
1
)
=
50
(
√
3
+
1
)
m
© examsnet.com
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