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Rahul facing North, walks 2.8 Km at 45° to his right. Then turns right and walks 8Km, then turns right and walks 8Km, then turns right and walks 5Km. From there he walks 2.8Km at 45° to his right and stops. What is the distance between his starting point and ending point?

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Best answer

I'm rotating the reference frame by 45**°** anti-clockwise.

We're splitting UT into vertical and horizontal distance.

**∴ **By 45-45-90 triangle we get UV = UT = 2.8 / √2 = 2.8/1.4 = 2 km.

**∴ **The **vertical distance** between start point and end point is = 8 - 2.8 - 2

= **3.2 km**

And the **horizontal distance** between start point and end point is = 8 - 5 - 2

= **1 km**

Therefore, The distance between starting and ending point will be the hypotenuse of right angle triangle with perpendicular sides 3.2 and 1.

**∴ Required Distance** = √ ( (3.2)^{2} + (1)^{2 })

= √ (10.24 + 1)

= √ (11.24)

= **3.35**

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