The cable car

The cable car is 3,5 kilometers long and climbs at a 30 degrees angle. What is the altitude difference between the Upper and Lower stations?

Correct answer:

y =  1750 m

Step-by-step explanation:

$$\begin{gathered} c=3.5\text{km}\to \text{m}=3.5\cdot 1000\text{m}=3500\text{m} \\ A=30{}^{\circ } \\ \sin A=y/c \\ {A}_1=A°\to \text{rad}=A°\cdot \frac{\pi }{180}=30°\cdot \frac{3.1415926}{180}=0.5236=\pi /6 \\ y=c\cdot \sin (A_1)=3500\cdot \sin 0.5236=1750\text{m} \end{gathered}$$

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