anonymous
  • anonymous
PLEASE HELP ME---A wheelchair access ramp has an angle of elevation of 24°. If the ramp reaches to the top of a 30 inch high porch, how long is the ramp?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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DebbieG
  • DebbieG
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DebbieG
  • DebbieG
You know an angle and the opposite side, you want the adjacent side. Which trig function relates those 3 parts?
DebbieG
  • DebbieG
Set up the equation, then solve it for L. :)

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More answers

DebbieG
  • DebbieG
Whoh, wait, I drew that wrong... hang on....
DebbieG
  • DebbieG
|dw:1377742051639:dw|
DebbieG
  • DebbieG
You know an angle and the opposite side, you want the hypotenuse. Which trig function relates those 3 parts? Proceed as outlined above... :)
anonymous
  • anonymous
um it would be sine right? sin24?
DebbieG
  • DebbieG
Well, that's the right function, yes. Now what's the equation?
DebbieG
  • DebbieG
sin24*={what?}/{what?}
anonymous
  • anonymous
sin24= 30/ x???
DebbieG
  • DebbieG
Yup... exactly! Now solve that puppy for x.
anonymous
  • anonymous
i thnk i did something wrong in the solving because i got a negative number
DebbieG
  • DebbieG
I think your calculator is in radian mode.
DebbieG
  • DebbieG
Because I'm kinda psychic like that. :)
anonymous
  • anonymous
oh hahahah i think you're right lol
anonymous
  • anonymous
ok now its on deg but i got a really small number
DebbieG
  • DebbieG
hmmm.... can you show me exactly what you entered in your calc?
anonymous
  • anonymous
i put in sin 24 and i got 0.40673 then i divided it by 30
anonymous
  • anonymous
i did it wrong huh?
DebbieG
  • DebbieG
Yup... hold on, was having technical problems...
anonymous
  • anonymous
ok haha
DebbieG
  • DebbieG
You have: \(\Large \sin24^*=\dfrac{30}{x}\) To solve that for x, you need to MULTIPLY both sides by x then DIVIDE both sides by sin(24*)
DebbieG
  • DebbieG
But YOU ended up with sin(24*)/30.... that's backwards.
DebbieG
  • DebbieG
That would be giving you 1/x. :) \(\Large \dfrac{1}{30}\cdot\sin24^*=\dfrac{30}{x}\cdot\dfrac{1}{30}\) \(\Large \dfrac{\sin24^*}{30}=\dfrac{1}{x}\) See what I mean?
anonymous
  • anonymous
ohh yeah i got you
DebbieG
  • DebbieG
Here is what you MEANT to do: \[\Large \dfrac{x}{\sin24^*}\cdot\sin24^*=\dfrac{30}{x}\cdot\dfrac{x}{\sin24^*}\] \(\Large x=\dfrac{30}{\sin24^*}\)
anonymous
  • anonymous
ohh i get it
anonymous
  • anonymous
so the answer would be 73.75
DebbieG
  • DebbieG
That's what I got. :)
anonymous
  • anonymous
omg yay haha thanks so much!
DebbieG
  • DebbieG
You're welcome, happy to help! :)

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