Height of a pole is 24 m, find the length of the rope tied with its top from a
point on the ground at a distance of 10 m from the bottom.
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Answered by
5
height=24m
base = 10m
h²=p²+b²
h =√p²+b²
h=√24²+10²
h=√676
h=26
length of rope 26m by pythagoras
Answered by
3
Given:-
- Height of pole = 24 m
- Distance of rope tied on the ground from its foot = 10 m
To find:-
- The length of rope.
Note:-
- Refer to the attachment for a clear view of explanation.
Solution:-
We can see that in this scenario a right- angled triangle is being formed with:-
- base = 10 m
- height (or perpendicular) = 24 m
Hence using Pythagoras theorem we can find the measure of hypotenuse.
According to Pythagoras theorem,
(Hypotenuse)² = (Base)² + (Perpendicular)²
(BC)² = (AB)² + (AC)²
=> BC = √(10)² + (24)²
=> BC = √100 + 576
=> BC = √676
=> BC = 26 m
Therefore the measure of BC (or hypotenuse) is 26 m.
Therefore, The length of the rope is 26 m.
Attachments:

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