Difference 6469

The cable car rose at an angle of 15 °. The height difference between the upper and lower station is 106m. Calculate how long the path is.

Correct answer:

x =  410 m

Step-by-step explanation:

$$\begin{gathered} \alpha =15°\to \text{rad}=15°\cdot \frac{\pi }{180}=15°\cdot \frac{3.1415926}{180}=0.2618=\pi /12 \\ h=106\text{m} \\ \sin \alpha =h:x \\ x=h/\sin \alpha =106/\sin 0.2618=410\text{m} \end{gathered}$$

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