Trigonometry, can someone check this please

A sled travels from point A at the top of a hill to point B at the bottom. If the sled travels 120 m from A to B and the vertical descent AC is 50 m, what is the angle of depression to the nearest degree?

arctan=50/120

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  1. you have posted quite a few of these, and I think you have missed them all. Better review the definitions of the basic trig function. For this one, you want

    arcsin(50/120)

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    posted by Steve
  2. I agree with Steve. I think you have mis-labeled the diagram. The distance AB is 120m and that is the hypotenuse of the triangle and not the base.

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    posted by DrBob222
  3. thank you, and my tutor's not very good, and I am home schooled so I have to kind of learn it for myself no one is around to explain it and help me understand I do not have a book due to the budget

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  4. money is no excuse. you evidently have the internet. A simple google search will provide oodles of explanations and examples.

    One key fact, which I found one of my students was having trouble with: For the purposes of the trig functions, the hypotenuse is not a side!

    When looking at one of the acute angles in a right triangle, opposite and adjacent refer to one of the perpendicular sides, not the hypotenuse.

    So, consider the angle in question, and its cosine is

    adjacentside/hypotenuse

    the hypotenuse is also adjacent, but it is not a side in this context.

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    posted by Steve

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