Question

A body moves $6\,m$ north, $8\,m$ east and $10\,m$ vertically upwards, the resultant displacement from its initial position is

• A. $10\sqrt{2}\,m$
• B. $10\,m$
• C. $\frac{10}{\sqrt{2}}\,m$
• D. $20\,m$

Answer 1

Answer: (A)

$10\sqrt{2}\,m$

Answer 2

The situation is as shown in the figure $OC=\sqrt{OA^{2}+AB^{2}+BC^{2}}$ $=\sqrt{6^{2}+8^{2}+10^{2}}$ $=10\sqrt{2}\,m$