Stacy J.
asked • 09/29/20Distance from vertical line to arc in shaded area
What equation would I use to find the distance from the vertical line in the shaded area perpendicular to any point on the arc? The line I am looking for will always be 90 degrees from the vertical line to various points on the arc.
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2 Answers By Expert Tutors
Sam Z. answered • 09/29/20
Tutor
4.3
(12)
Math/Science Tutor
If this is 2 dimensions; the middle line makes a right angle with the vertical.
If this is 3 dimensions; the 5 lines make right angles with the vertical.
Stacy J.
It is 2 dimension. I need the equation to find the length of the right angle line from anywhere on the vertical line to the arc.
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09/29/20
Sam Z.
I took another look; this time at 2d. The 5 horizontal lines are perpendicular to the shaded area. Since this is 2d; there's 1 line connecting to the vertical which is 90 degrees. I don't understand what you're referring to as length. Also; the 4 angles on the left added together make another rt angle. Besides that; there's not enough imfo. There's 3 rt angles to work with.
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09/29/20
Jeffrey K. answered • 09/29/20
Tutor
New to Wyzant
Together, we build an iron base in mathematics and physics
Stacy, I don't understand the question. The reason is that, from any point on that vertical line, there are many - in fact, infinitely many! - lines that can be drawn from the vertical line to the arc.
So, there may be missing information.
Stacy J.
I understand what you are saying. You are partially right, however if the line is only from the vertical line to the arc at a 90 degree angle there can only be so many lines from the top of the arc to the bottom then they will either go above the arc or below it, The line meets the arc in the center. I need to know how long a line will be anywhere along the vertical line 90 degrees to the arc. So at the center it is zero as you move up or down from the center the perpendicular line will get longer. I need to find the equation to solve for this length.
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09/29/20
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Stacy J.
Ignore everything to the left of the shaded area. I only drew that so I could get the radius of the arc correct. If the right side of the shaded area is my vertical line and the top of the shaded area is my horizontal line intersecting with the vertical line. If I took the top line and moved it down the vertical line the distance would reduce until it was 0 at the center, then it would start increasing again as it fell below center. I need to know how to figure that distance accuratly anywhere along that span.09/29/20