Does the first ramp have to be three times as long as the second ramp?
Why?
2007-10-29 10:29:31 · 5 answers · asked by Anonymous in Science & Mathematics ➔ Engineering
Warren W your answer pretty much looks like.. blah de blah de blah blah.
=/.
It's just a yes or no question,
2007-10-29 10:45:04 · update #1
Yes.
2007-10-29 11:11:54 · answer #1 · answered by supastremph 6 · 0⤊ 0⤋
Yes. Its a simple triangle geometry thing. Since all three of the angles are the same between the two ramps, tripling the length of one side means you have to triple the length of the other two sides of that triangle if you want to keep the same angles.
2007-10-29 11:08:12 · answer #2 · answered by Neebler 5 · 0⤊ 0⤋
If you remember from geometry, angle-side-angle can gives you all you need to know about a triangle to find the other sides.
From trig, if you know the slope and height, you know the angle and the opposite side, so the sine will help you find the rest.
If you increase the opposite side by three, and the sine is the same, then the length is three times greater. Sine did not change.
2007-10-29 10:35:29 · answer #3 · answered by Warren W- a Mormon engineer 6 · 0⤊ 0⤋
If the question is just a yes/no answer, why are you asking "why?"
The answer is yes.
Since you don't care for all of the "blah, blah, blah", how can one you tell you the "why" part of your question?
2007-10-29 11:17:31 · answer #4 · answered by CatNip 6 · 0⤊ 0⤋
Yes.
Uses similar triangles or the def of Tan theta (y/x) to show it.
2007-10-29 11:20:31 · answer #5 · answered by Tony N 3 · 0⤊ 0⤋