The roof of a building is 8 m high. A rope is
tied from the roof to a peg on the ground
6 m away from the wall. What would the
minimum length of the rope?
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Given:
- We have been given building 8m high
- A rope is tight to a peg on ground, 6m away from the building
To Find:
- We have to find the length of Rope
Concept Used:
On Analyzing the Question
A Right angle triangle will be formed which can be solved further by using Pythagoras Theorm
In Right Angle Triangle, the square of Hypotenuse is equal to the sum of square of other two sides
Solution:
Let us assume
- AB = Height of Building
- BC = Distance of peg from Building
- AC = Length of Rope
We have been given that
Using Pythagoras Theorm
In ∆ABC Using Pythagoras Theorm
Substituting the Values
Taking Square Root on Both sides
Length of Rope needed is 10m
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