Two pillars AB and CD of equal heights stand on either side of a road which is (60+20 root 3 )m wide. At a point O on the road between the pillars, the angle of elevation of the tops of the pillars are 60 degree and 45 degree respectively. Find the heights of the pillars.
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6
Answer:
Two pillars of equal heights stand on either side of a road which is 150 m wide. At a point on the road between the pillars, the angles of elevation of the tops of the pillars are 60
∘
and 30
∘
. Find the height of each pillar and the position of the point on the road
Answered by
1
Step-by-step explanation:
length of road =150
In △AOC,
tan60
o
=
x
h
∴x=
3
h
In △BOD,
tan30
o
=
100−x
h
3
1
=
100−x
h
100−x=h
3
100−h
3
=x x=
3
h
∴100−h
3
=
3
h
∴h=25
3
m
∴x=
3
h
=
3
25
3
∴x=25 m
∴OC=25 m and OD=75 m.
I hope it help you.......
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