Perpendicular 17423

According to the map, the scouts were supposed to proceed through the forest perpendicular to its straight edge, where the goal was 3 km away from the starting point. They already deviated from the correct direction by 5° at the start. How far from the target did they get out of the forest?

Correct answer:

x =  0.2625 km

Step-by-step explanation:

$$\begin{gathered} a=3\text{km} \\ \alpha =5{}^{\circ } \\ \tan \alpha =x/a \\ x=a\cdot \tan \alpha =a\cdot \tan 5°=3\cdot \tan 5°=3\cdot 0.087489=0.262=0.2625\text{km} \end{gathered}$$

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