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A Man Goes 12m Due South and Then 35m Due West. How Far is He from the Starting Point. - Mathematics

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Question

A man goes 12m due south and then 35m due west. How far is he from the starting point. 

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Solution

 

In right triangle SOW
By using Pythagoras theorem, we have 

`OW^2=WS^2+SO^2` 

=`35^2+12^2`  

=`1225+144`  

=`1369` 

`∴ OW^2=1369` 

⟹ 𝑂𝑊 = 37 𝑚
Hence, the man is 37 m away from the starting point. 

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Chapter 4: Triangles - Exercises 5

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R.S. Aggarwal Mathematics [English] Class 10
Chapter 4 Triangles
Exercises 5 | Q 26
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