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mattishot Group Title

A long ramp that leads to a building entrance is 45 feet. The stairs to the entrance have a vertical height of 6 feet. What is the angle of incline of the ramp?

  • one year ago
  • one year ago

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  1. tcarroll010 Group Title
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    |dw:1363223850112:dw|In this drawing you can identify the angle "x", the opposite side and the hypotenuse. The angle "x" is that angle whose sine is the measure of the length of opposite side over the measure of the length of the hypotenuse.

    • one year ago
  2. mattishot Group Title
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    so sin 6/45?

    • one year ago
  3. tcarroll010 Group Title
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    Actually, the angle is the arcsin 6/45. It's the inverse sine. You are given the sine. It's the angle is what you are looking for.

    • one year ago
  4. mattishot Group Title
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    okay, i gotcha. i never know when to use what :/

    • one year ago
  5. tcarroll010 Group Title
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    In other words:\[\sin x = \frac{ 6 }{ 45 }\]

    • one year ago
  6. tcarroll010 Group Title
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    \[x = \sin^{-1} \frac{ 6 }{ 45 }\]

    • one year ago
  7. tcarroll010 Group Title
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    sines go with the angle. Arcsines (inverse sines) go with the ratio of the sides.

    • one year ago
  8. mattishot Group Title
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    ohhh. alright.

    • one year ago
  9. tcarroll010 Group Title
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    So, to calculate that, you set your calculator to "degrees", type in 6/45, then hit inverse sine.

    • one year ago
  10. tcarroll010 Group Title
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    It will give back the angle whose sine is 6/45. Good luck in all of your studies and thx for the recognition! @mattishot

    • one year ago
  11. mattishot Group Title
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    Thank you too!

    • one year ago
  12. tcarroll010 Group Title
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    You're very welcome! Have a good rest of the day!

    • one year ago
  13. mattishot Group Title
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    You as well.

    • one year ago
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