The rescue helicopter

The rescue helicopter is above the landing site at a height of 180m. The rescue operation site can be seen from here at a depth angle of 52°40'. How far will the helicopter land from the rescue site?

Correct answer:

x =  137 m

Step-by-step explanation:

$$\begin{gathered} y=180\text{m} \\ \alpha =52°40^{\prime }=52°+\frac{40}{60}°=52.6667°\doteq 52.6667 \\ \tan \alpha =y:x \\ x=y/\tan \alpha =y/\tan 52.666666666667°=180/\tan 52.666666666667°=180/1.311105=137=137\text{m} \end{gathered}$$

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