anonymous
  • anonymous
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?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
|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.
anonymous
  • anonymous
so sin 6/45?
anonymous
  • anonymous
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.

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anonymous
  • anonymous
okay, i gotcha. i never know when to use what :/
anonymous
  • anonymous
In other words:\[\sin x = \frac{ 6 }{ 45 }\]
anonymous
  • anonymous
\[x = \sin^{-1} \frac{ 6 }{ 45 }\]
anonymous
  • anonymous
sines go with the angle. Arcsines (inverse sines) go with the ratio of the sides.
anonymous
  • anonymous
ohhh. alright.
anonymous
  • anonymous
So, to calculate that, you set your calculator to "degrees", type in 6/45, then hit inverse sine.
anonymous
  • anonymous
It will give back the angle whose sine is 6/45. Good luck in all of your studies and thx for the recognition! @mattishot
anonymous
  • anonymous
Thank you too!
anonymous
  • anonymous
You're very welcome! Have a good rest of the day!
anonymous
  • anonymous
You as well.

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