Acceleration down a ramp

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PH 2700 Physics for the Life Sciences I
Here we use vector decomposition to obtain the acceleration for an object sliding down a ramp with no friction.
  1. Mark Pecaut
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Thanks for this... with my very limited understanding of trig, it seems like it should be so that a(down the ramp) = -g/sinθ being that the "ramp" appears to form the hypotenuse to the original θ angle. Why isn't that the case?

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