Meridian ground speed

The plane flies south at an average speed of 190 km/h, and the wind blows from west to east at a speed of 20 m/s. How fast and in what direction (relative to the meridian) will the plane move relative to the ground?

Correct answer:

v =  203.1846 km/h

Step-by-step explanation:

$$\begin{gathered} v_1=190\text{km/h} \\ {v}_2=20\text{m/s}\to \text{km/h}=20\cdot 3.6\text{km/h}=72\text{km/h} \\ {v}_1\perp v_2 \\ S+E=>SE \\ v=\sqrt{v_1^2+v_2^2}=\sqrt{190^2+72^2}=2\sqrt{10321}=203.1846\text{km/h} \end{gathered}$$

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