SOLUTION: This is an easy trigonometry question, but I have trouble to understand it. Can someone please explain the question with diagrams? Because I think I can understand it better if I h

Question 1184124: This is an easy trigonometry question, but I have trouble to understand it. Can someone please explain the question with diagrams? Because I think I can understand it better if I have a diagram in my mind.
Question:
On a slope, a railway rises 35cm for every 50m of track. Find the angle at which the track is inclined to the horizontal, correct to 2 decimal places. The answer in the textbook says 0.40 degrees.
Answer by ikleyn(52824) (Show Source): You can put this solution on YOUR website!
.


Make a sketch.


In the sketch, 35 cm = 0.35 m  is the rise (vertical leg of the right angled triangle).

50 m is the hypotenuse.


Hence, the sine of the angle   " a "  under the problem's question is  


    sin(a)  =  = 0.007.


Hence,  the angle "a"  is  


    a = arcsin(0.007) = use calculator = 0.007 radians =  = 

      =  = use your calculator, again = 0.4 degrees.

Solved and thoroughly explained.

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