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mattishot

  • one year ago

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?

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  1. tcarroll010
    • one year ago
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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.

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

  3. tcarroll010
    • one year ago
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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.

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

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

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

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

  8. mattishot
    • one year ago
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    ohhh. alright.

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

  10. tcarroll010
    • one year ago
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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

  11. mattishot
    • one year ago
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    Thank you too!

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

  13. mattishot
    • one year ago
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    You as well.

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