calculusxy
  • calculusxy
MEDAL!!! Sanchez' Warehouse wants to install a 3-foot-wide ramp from the level floor to the top of the 4-foot-high platform shown above. A regulation states that for every 2 feet that such a ramp rises vertically, the bottom of the ramp must be placed 5 feet farther from the bottom of the platform. If the material from the top surface of the ramp comes in 3-foot widths and whole-foot lengths, what is the minimum length of this material that must be purchased?
Mathematics
katieb
  • katieb
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calculusxy
  • calculusxy
anonymous
  • anonymous
For every 2 ft of height, the ramp must be 5 ft. from the bottom of the platform. The height of the platform is 4 ft. How far from the bottom of the platform must the ramp be?
calculusxy
  • calculusxy
10ft?

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anonymous
  • anonymous
That's right. So it looks a bit like this|dw:1442971648274:dw|Use the Pythagorean Theorem to calculate the length of the ramp. What do you get?
calculusxy
  • calculusxy
so u mean to find the hypotenuse?
anonymous
  • anonymous
That's right. What's the length of the hypotenuse?
calculusxy
  • calculusxy
16+ 100 = 116 c = sqrt (116)
anonymous
  • anonymous
Good. How much is that? Use your calculator.
calculusxy
  • calculusxy
about 10.77
anonymous
  • anonymous
Excellent. Now the material to build the ramp only comes in whole foot lengths. So how many feet of material will need to be purchased?
calculusxy
  • calculusxy
11
anonymous
  • anonymous
Bingo. That's your answer. Good job.
calculusxy
  • calculusxy
thanks! i have another question can u help?
anonymous
  • anonymous
Sure. Please post your question.

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