Question

A person is swimming with a speed of $10\raisebox{1ex}{$m$}\!\left/ \!\raisebox{-1ex}{$s$}\right.$ at an angle of ${120}^o$ with the flow and reaches to a point directly opposite on the other side of the river. Then the speed of the flow is$‘x’\raisebox{1ex}{$m$}\!\left/ \!\raisebox{-1ex}{$s$}\right.$. The value of $‘x’$ to the nearest integer is _____.

Answer 1

The explanation for the answer is,

Step 1:Given Data.

Swimming speed = $10\raisebox{1ex}{$m$}\!\left/ \!\raisebox{-1ex}{$s$}\right.$

Swimming Angle = ${120}^o$

Step 2:Velocity along the river.

$$\begin{gathered} V_R=10\sin {30}^0 \\ \Rightarrow V_R=\frac{10}{2} \\ \Rightarrow V_R=5m/s \end{gathered}$$

Hence, the value of $‘x’$ to the nearest integer is $5\raisebox{1ex}{$m$}\!\left/ \!\raisebox{-1ex}{$s$}\right.$.