# The cable car

The cable car has a length of 3,5 kilometers and an angle of climb of 30 degrees. What is the altitude difference between Upper and Lower Station?

Result

y =  1750 m

#### Solution:

$c = 3.5 \ km = 3.5 \cdot \ 1000 \ m = 3500 \ m \ \\ A = 30 \ ^\circ \ \\ \ \\ \sin A = y / c \ \\ \ \\ A_{ 1 } = (A \rightarrow rad) = (A \cdot \ \dfrac{ \pi }{ 180 } \ ) = 0.523598775598 \ \\ \ \\ y = c \cdot \ \sin(A_{ 1 }) = 3500 \cdot \ \sin(0.5236) = 1750 = 1750 \ \text { m }$

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