# Climb

On the road sign, which informs the climb is 8.7%. Car goes 5 km along this road.

What is the height difference that car went?

Result

x =  433.4 m

#### Solution:

$\ \\ p = 8.7 \% = 0.087 \ \\ \ \\ x = 1000\cdot 5 \cdot \dfrac{ 0.087 }{ \sqrt{1 + 0.087^2}} = 433.4 \ \text{m} \ \\ \ \\ \alpha = \arcsin( \dfrac{x}{ 5 \ km } ) = 4^\circ 58'20"$

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