During a storm a pole 20ft. long snapped in a way such that the top most point of the upper section leaned over and reached a point on the ground that was 10ft. from the foot of the pole, while the lowest point of this section remained attached to the pole. How long was the upper section?
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Step-by-step explanation:
Let the Height of the Tree =AB+AD
and given that BD=8 m
Now, when it breaks a part of it will remain perpendicular to the ground (AB) and remaining part (AD) will make an angle of 30
o
Now, in △ABD
cos30
o
=
AD
BD
⇒BD=
2
3
AD
⇒AD=
3
2×8
also, in the same Triangle
tan30
o
=
BD
AB
⇒AB=
3
8
∴ Height of tree =AB+AD=(
3
16
+
3
8
)m=
3
24
m=8
3
m
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