A statue16 m tall, stands on top of a pedestal
a paint on the ground the angle of elevation of
the top of the stative is to a from the same point
the angle of
lewater
g the top of the pedestal is 45
Find the length of the pedestal
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Answer:
ANSWER
Now from the figure
∠FBC=45
0
∠ABC=60
0
Therefore
tan45
0
=
m
h
=1
Hence h=m
And
tan60
0
=
h
1.6+h
=
3
Hence
1.6+h=
3
h
1.6=h(
3
−1)
h=
3
−1
1.6
=
2
1.6(
3
+1)
=0.8(
3
+1)
=2.185m
Hence the height of the pedestal is 2.185m.
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