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A man driving a minivan leaves his home and travels north 5 miles, then turns right and travels east 12 miles, arriving at his place of work. If a road was made directly from his house to his work, what would the distance be?

Respuesta :

Answer:

The distance between house to work is 13 miles .

Step-by-step explanation:

Given as :

The distance that man travel to north = OA = 5 miles

Now, From north ,man turn right and travel to east

So, The distance that man travel to east = AB = 12 miles

Let The distance between house to work = x miles

So, x miles is the displacement from north to east direction

i.e x = [tex]\sqrt{OA^{2} + AB^{2}  }[/tex]

Or, x = [tex]\sqrt{5^{2} + 14^{2}  }[/tex]

Or, x = [tex]\sqrt{169  }[/tex]

∴   x = 13

So, The distance between house to work = x = 13 miles

Hence, The distance between house to work is 13 miles . Answer

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