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 2 years 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?
 2 years 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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tcarroll010
 2 years ago
Best ResponseYou've already chosen the best response.1dw:1363223850112:dwIn 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.

tcarroll010
 2 years ago
Best ResponseYou've already chosen the best response.1Actually, 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.

mattishot
 2 years ago
Best ResponseYou've already chosen the best response.0okay, i gotcha. i never know when to use what :/

tcarroll010
 2 years ago
Best ResponseYou've already chosen the best response.1In other words:\[\sin x = \frac{ 6 }{ 45 }\]

tcarroll010
 2 years ago
Best ResponseYou've already chosen the best response.1\[x = \sin^{1} \frac{ 6 }{ 45 }\]

tcarroll010
 2 years ago
Best ResponseYou've already chosen the best response.1sines go with the angle. Arcsines (inverse sines) go with the ratio of the sides.

tcarroll010
 2 years ago
Best ResponseYou've already chosen the best response.1So, to calculate that, you set your calculator to "degrees", type in 6/45, then hit inverse sine.

tcarroll010
 2 years ago
Best ResponseYou've already chosen the best response.1It will give back the angle whose sine is 6/45. Good luck in all of your studies and thx for the recognition! @mattishot

tcarroll010
 2 years ago
Best ResponseYou've already chosen the best response.1You're very welcome! Have a good rest of the day!
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