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
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-> 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
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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):
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.
