Question

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?

Answer 1

The distance between house to work is 13 miles .

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 =
`\sqrt{OA^(2) + AB^(2)  }`

Or, x =
`\sqrt{5^(2) + 14^(2)  }`

Or, x =
`√(169  )`

∴ x = 13

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

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