. A statue, 2.4m tall stands on the top of a pedestal. From a point on the ground, the angle of elevation of the top of the statue is 45 degree and from the same point the angle of elevation of the top of the pedestal is 30degree. Find height of the Pedestal. Use Square root of 3 = 1.7
Answers
Answered by
3
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.
Step-by-step explanation:
I hope it help u sister
Answered by
1
Step-by-step explanation:
FBC=45 0
∠ABC=60 0
Therefore, tan45 0 = mh
=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.
Similar questions