Graduation of the track

The gradient of the track is 9 per mile, and the distance per kilometer (on the slope) [AC] = is 560m. Determine the angle alpha and the distance [AB] = the height between A and B.
A
/ |
B/____________C

Correct answer:

α =  0.5157 °
y =  5.04 m

Step-by-step explanation:

AC=560 m r=9=10009=0.009  r = y:AC  sin α = y:AC = r  α=π180°arcsinr=π180°arcsin0.009=0.5157=0°3056"
y=r AC=0.009 560=5.04 m



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You need to know the following knowledge to solve this word math problem:

planimetricsbasic functionsgoniometry and trigonometryUnits of physical quantitiesGrade of the word problem

 
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