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A 13m Long Ladder Reaches a Window of a Building 12m Above the Ground. Determine the Distance of the Foot of the Ladder from the Building. - Mathematics

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प्रश्न

A 13m long ladder reaches a window of a building 12m above the ground. Determine the distance of the foot of the ladder from the building. 

उत्तर

Let AB and AC be the ladder and height of the building.
It is given that :
AB = 13 m and AC = 12 m
We need to find distance of the foot of the ladder from the building, i.e, BC.
In right-angled triangle ABC, we have: 

  

`AB^2=AC^2+BC^2` 

⟹ `BC=sqrt(13^2-12^2)` 

=`sqrt(169-144)` 

`=sqrt25` 

=5 m 

Hence, the distance of the foot ladder from the building is 5 m 

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अध्याय 4: Triangles - Exercises 4

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आरएस अग्रवाल Mathematics [English] Class 10
अध्याय 4 Triangles
Exercises 4 | Q 4

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