A point is placed on a two-dimensional grid at some distance........?

Question

A point is placed on a two-dimensional grid at some distance away from another point. The newly added point is 95 degrees away from the origunal point. If you were to describe the location of the nwe point relative to the original point, the new point would have a ?

Negative Y value , Positive Z value , Negative X value or a Negative Z value.

Answer 1

If by "95 degrees away" you mean "in relation to the origin", then there is insufficient information to solve this problem. The only thing you can do is to eliminate all of the "Z value" answers because these points lie upon a two-dimensional grid and thus all Z values are zero.

Let's take two simple examples. If the original point lies on the positive-X axis, then the new point lies within quadrant 2. Thus, relative to the original point, it will have a "-x,+y" value. However, if the original point lies upon the negative-x axies, then the new point lies within quadrant 4, and will have a "+x, -y" value relative to the original point. So depending upon the location of the original point, the answer can be "-y" or "-x". (The answer can even be both, e.g. if the original point lies on the positive-y axis.)

If by "95 degrees away" you mean "in relation to the original point", then there is still no answer because you do not give reference to the base of the angle. If the base of the angle is the positive-x axis (which is common), then the new point will always be "-x, +y" in relation to the original point. If however the base of the angle is "due north", or the positive-y axis, then the new point will always be "-x, -y" and thus two of your suggested answers would be correct.

Answer 2

Well, considering you don't have a Z-value on a two-dimensional grid, that's not going to be it.
Since it's asking for position relative to a point, we can arbitrarily assign the original point the coordinates (0,0).
Next, we know the second point is located somewhere along the ray originating at 0,0 with a heading of 95°. Angles (in this sort of problem) are normally figured from the positive x-axis counterclockwise. So, what does this tell us?
It tells us that heading 0° would give us x increases with no change in y, and 180° would give us x decreases with no change in y. We also know that 90° will give us y increases with no change in x; and 270° decreases y without changing x.
Since 95° is between 90° and 180° but much closer to 90, a point at a 95° angle from origin will show a marked increase in y with minimal decreases in x. So, pick the remaining answer that describes that condition.

Answer 3

Assuming that Y is the vertical and Z is the horizontal axis, let the first point be at 0,0 then the second point will be to the right of the Y axis and, since the convention is that 0 degrees from a point is 'vertically above' or 'with the same horizontal coordinate', 90 degrees will represent a point with the same vertical coordinate (i.e. Y=0) and 95 degrees will therefore be below the Z axis.

Negative Y, Positive Z

Answer 4

Negative Y Value?

Answer 5

Negative X. Now, your brain turns into a potato because we did your homework. Be proud.

Answer 6

Do your own homework.