Difference 83079

On the traffic sign that informs about the road's gradient, the figure is 6.7%. Determine the slope angle of the path. What height difference is covered by the car that traveled 2.8 km on this road?

Correct answer:

α =  3.8331 °
h =  187.6 m

Step-by-step explanation:

r=6.7%=1006.7​=0.067  r = y:x = tan α  A=arctanr=arctan0.067=0.0669 rad  α=A→  °=A⋅ π180​   °=0.0669⋅ π180​   °=3.833  °=3.8331∘=3°49′59"
s=2.8 km→ m=2.8⋅ 1000  m=2800 m  h=r⋅ s=0.067⋅ 2800=187.6 m

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