1. An electrician wants to repair an electric connection on a pole to height 9 m. He needs to reach 1.8m below the top of the pole to do repair work. What should be the length of the ladder which he should use, when he climbs it an angle of 60° with the ground ? What will be the distance between foot of the ladder and foot of the pole? Pole
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An electrician wants to repair an electric connection on a pole of height 9m. He needs to reach 1.8m below the top of the pole to do repair work. What should be the length of the ladder which he should use, when he climbs it at an angle of 60
∘
with the ground ? What will be the distance between foot of the ladder and foot of the pole ?
Medium
Solution
verified
Verified by Toppr
Height of the pole =8m
Height of the point from the ground where he reaches the pole =9−1.8=7.2m
Angle of elevation =60
∘
Let the length of the ladder =8m
Distance between the foot of the ladder and foot of the pole = d m
From the figure
sin60
∘
=
x
7.2
⇒
2
3
=
x
7.2
⇒x=
3
7.2×2
⇒x=
3
3×2.4×2
=4.8
3
m
=4.8×1.732=8.31m
tan60
∘
=
d
7.2
⇒
3
=
d
7.2
⇒d=
3
7.2
⇒d=
3
2.4×3
=2.4×
3
=2.4×1.732=4.1568m
∴ Distance between the foot of the ladder and foot of the pole =4.1568m
Step-by-step explanation:
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