anonymous
  • anonymous
The figure represents a ramp. What is the height of the ramp? a) 2m b) 4m c) 8m d) 2m
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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the_ocean_girl
  • the_ocean_girl
where's the figure?
anonymous
  • anonymous
Here it is
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FortyTheRapper
  • FortyTheRapper
Are you familiar with The Pythagorean Theorem?

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anonymous
  • anonymous
No I'm not. I just started learning this and I haven't really gone over it yet
FortyTheRapper
  • FortyTheRapper
Alright, so the Theorem states that A squared + B squared = C squared. This only works for right triangles. Your problem is a right triangle, so this works. Side C must always be the hypotenuse, which is always the diagonal side. Let's do an example problem. Let's say one side measured 4 and the diagonal measured 5. Plugging those numbers in, we get (A squared) + (4 squared) = (5 squared). 4 squared is 16 and 5 squared is 25, so it's (A squared) + (16) = (25). Since there is a plus 16 on the left side, we subtract 16 from both sides to get (A squared) = 9. You want side A though, so again do the opposite. Instead of squaring, find the square root. So the square root of a square is just the variable, which is A. The square root of 9 is 3 ofc. So your answer is A=3. Think you can try the current problem you have going off this example?
anonymous
  • anonymous
Hmm, maybe. Let me work it out
anonymous
  • anonymous
I keep getting 22.67 when I use my calculator :/ I know that isn't right
anonymous
  • anonymous
What is your process? :)
FortyTheRapper
  • FortyTheRapper
Yes, lets see your steps. Maybe we can see the error
anonymous
  • anonymous
c= a^2 + b^2 so I plugged them in and this is the equation: 15^2 + 17^2 = 22.67 I used my calculator and these are the steps it gave me. I know I'm not doing something right.
anonymous
  • anonymous
Wait! I think I got it. It is 8 right?
anonymous
  • anonymous
\[\large \sf A^{2}+B^{2}=C^{2}\]\[\large \sf 15^{2}+B^{2}=17^{2}\]\[\large \sf B^{2}=17^{2}-15^{2}\]\[\large \sf B=\sqrt{17^{2}-15^{2}}\] So yeah, 8
anonymous
  • anonymous
Haha, okay. Thanks!
FortyTheRapper
  • FortyTheRapper
I see. You tried finding the diagonal side, when it was already given to you. Yes, it is 8. Nice!

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