(c) The shadow of a vertical tower AB on level ground is increased by
10 m when the altitude of the sun changes from 45° to 30%, as shown in
the given figure
Find the height of the tower and give your answer correct to of
a metre.
Answers
Answered by
0
Answer:
13.67m
Step-by-step explanation:
Let height of tower CD be h metres
Now in right-angled ΔBCD, we have
x
h
=tan45
o
⇒
x
h
=1
⇒h=x ......(i)
Again in right-angled ΔACD, we have
x+10
h
=tan30
o
⇒
x+10
h
=
3
1
⇒
3
h=x+10
⇒
3
h=h+10 ......using (i)
⇒h(
3
−1)=10
⇒h=
3
−1
10
×
3
+1
3
+1
=
(
3
)
2
−(1)
2
10(
3
+1)
=
3−1
10(1.732+1)
=5×2.732=13.67 m
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