use the diagram to complete the statements. the angle of depression from point r to point s is angle 3. the angle of elevation from point s to point r is angle 4. angle 2 is the angle of elevation from dropdown options: point q to point r, point r to point q, point r to point s, point s to point r of dropdown (diagram shows points q, r, s with dashed horizontal lines and angles 1,2,3,4).

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# Brief Explanations:
To determine the angle of elevation for angle 2, we recall that the angle of elevation is the angle formed between the horizontal line and the line of sight when looking up from a lower point to a higher point.
- Angle 2 is at point R, between the horizontal dashed line (through R) and the line from R to Q.
- So we are looking for the lower point from which we look up to R. Point Q is above the horizontal line through R? Wait, no, let's re - examine. Wait, the horizontal lines: the top dashed line is through Q, the middle through R, the bottom through S.
- The line from Q to R makes angle 1 with the top horizontal, angle 2 with the middle horizontal. The line from R to S makes angle 3 with the middle horizontal, angle 4 with the bottom horizontal.
- For angle of elevation, the observer is at a lower point. If angle 2 is the angle of elevation, the observer is at a point below R, looking up to R? Wait, no, angle 2 is at R. Wait, maybe I got it wrong. Wait, the angle of elevation from a point to another is the angle at the lower point between the horizontal and the line of sight to the higher point.
- Wait, angle 2 is at R, between the horizontal (middle dashed line) and the line RQ. So the lower point would be Q? No, Q is on the top horizontal. Wait, maybe the first dropdown is "point Q to point R" no, wait, the observer should be at a lower point. Wait, the middle horizontal is through R. The top horizontal is through Q (same level as Q), middle through R, bottom through S.
- So if we consider the angle of elevation to R, the observer is at a point below R. But angle 2 is at R. Wait, maybe the question is: Angle 2 is the angle of elevation from [which point] to [which point]? Wait, the angle of elevation is measured at the observer's position. So if angle 2 is the angle of elevation, the observer is at a point, and the angle is between the horizontal at that point and the line of sight to R.
- Wait, the line RQ: if we are at point Q, looking up to R? No, Q is on the same horizontal line (top dashed line) as Q? Wait, the top dashed line is through Q, so Q is on that line. The middle dashed line is through R, so R is on that line. So Q is on a horizontal line above R? No, the distance from Q to R: the line from Q to R is going down to R (since Q is to the left of R, and the line is slanting down). Wait, maybe I made a mistake in the direction. Let's think about the horizontal lines: the top one is y - level of Q, middle y - level of R, bottom y - level of S. So Q is at (let's say) y = 3, R at y = 2, S at y = 1 (assuming downward is decreasing y). Then the line from Q (y = 3) to R (y = 2) is going down. The line from R (y = 2) to S (y = 1) is going down.
- The angle of elevation from a point to another is when the observer is at a lower y - level, looking up to a higher y - level. So if we have angle 2 at R (y = 2), between the horizontal (y = 2 line) and the line RQ (going to Q at y = 3). Wait, Q is at a higher y - level than R? No, Q is on the same horizontal line as the top dashed line, which is parallel to the middle (R's) and bottom (S's) horizontal lines. So Q is at the same height as the top dashed line, R at middle, S at bottom. So Q is above R (since top dashed line is above middle dashed line). So if we are at Q (y = 3), looking down to R (y = 2), that's angle of depression. But angle 2 is at R, between middle horizontal and RQ. So maybe the angle of elevation is from Q to R? No, Q is above R. Wait, I'm confused. Wait, let's check the options:
  - Option 1: point Q to point R: If we are at Q, looking at R, since Q is above R, the angle of elevation from Q to R would be the angle at Q between the horizontal (top dashed line) and the line QR. But angle 2 is at R.
  - Option 2: point R to point Q: That would be angle of depression from R to Q, since R is below Q.
  - Option 3: point R to point S: Angle of depression from R to S (since R is above S), angle 3 is that.
  - Option 4: point S to point R: Angle of elevation from S to R (since S is below R), angle 4 is that. Wait, but angle 2 is at R. Wait, maybe the question is misphrased, or I'm misinterpreting the diagram. Wait, the angle of elevation from a point to R: the observer is at that point, and the angle is between the horizontal at that point and the line to R. So if angle 2 is the angle of elevation, the observer is at a point where the horizontal line and the line to R form angle 2. The line forming angle 2 is RQ. So the observer is at Q? But Q is on the same horizontal as the top dashed line. Wait, the middle horizontal is through R. The line RQ makes angle 2 with the middle horizontal. So if we are at Q, the horizontal at Q is the top dashed line. The line QR makes angle 1 with the top horizontal. So angle 2 is at R, between middle horizontal and RQ. So the angle of elevation from Q to R would be the angle at Q between top horizontal and QR (angle 1), but angle 2 is at R. Wait, maybe the answer is "point Q to point R" is incorrect. Wait, no, let's re - evaluate. The angle of elevation from a point A to a point B is the angle at A between the horizontal (through A) and the line AB, when B is above A.
- If angle 2 is the angle of elevation, then A is a point below R, and B is R. But angle 2 is at R. Wait, this is confusing. Wait, maybe the first dropdown (the one with angle 2) is "point Q to point R" is wrong. Wait, the options are:
  - point Q to point R
  - point R to point Q
  - point R to point S
  - point S to point R
- Wait, maybe the angle of elevation from point Q to point R: but Q is on the same horizontal as the top dashed line, R is on the middle. So Q is above R? No, Q is to the left of R, on a horizontal line above R? Wait, the top dashed line is longer, Q is on the left end, R is on the middle dashed line, S on the bottom. So the vertical position: Q is at the same y - coordinate as the top dashed line, R at middle, S at bottom. So Q is above R (since top dashed line is above middle). So from Q to R, it's a downward line. So angle of elevation from Q to R would not make sense. From R to Q, it's upward? No, R is below Q. Wait, maybe the diagram has the horizontal lines as parallel, so Q, R, S are on different horizontal levels: Q on top, R in middle, S at bottom. Then the line from Q to R is going down to the right, line from R to S is going down to the right.
- The angle of elevation from a point to R: if the point is below R, then looking up to R. The line RQ goes up to the left from R to Q? Wait, no, Q is to the left of R, on a higher horizontal. So from R to Q, it's up to the left. So the angle of elevation from Q to R would be the angle at Q between the horizontal (top dashed line) and the line QR (which is going down to the right from Q to R). No, that's angle of depression.
- Wait, maybe I got the direction of the lines wrong. Maybe Q is to the left of R, on a lower horizontal? No, the top dashed line is through Q, middle through R, bottom through S. So Q is on the highest horizontal, R middle, S lowest.
- Then the line from Q to R is going down to the right (from Q's horizontal to R's horizontal), making angle 1 with Q's horizontal, angle 2 with R's horizontal.
- The line from R to S is going down to the right (from R's horizontal to S's horizontal), making angle 3 with R's horizontal, angle 4 with S's horizontal.
- Now, the angle of elevation from a point to R: the point must be below R (S's horizontal), and the line to R would make an angle with the horizontal at that point. But angle 2 is at R. Wait, the question says "Angle 2 is the angle of elevation from [ ] of [ ]". So the first blank is the observer's point, the second is the target (R).
- So angle of elevation from observer to R: observer is at a point, looks up to R, angle between observer's horizontal and line to R is angle 2.
- The line to R that makes angle 2 is RQ. So the observer is at Q? But Q is on a higher horizontal than R. So looking down from Q to R, that's angle of depression.
- This is confusing. Wait, maybe the correct answer is "point Q to point R" is wrong, and the correct answer is "point Q to point R" no, wait, let's check the options again. The options for the first dropdown (the one with angle 2) are:
  - point Q to point R
  - point R to point Q
  - point R to point S
  - point S to point R
- And the second dropdown (after "of") would be "point R" (but it's already about R). Wait, maybe the question is: Angle 2 is the angle of elevation from point Q to point R? No, angle of elevation from Q to R would be at Q, but angle 2 is at R.
- Wait, maybe the diagram is different. Maybe the horizontal lines are: the middle one is through R, the top one is above R, the bottom one is below R. Q is on the top horizontal, S on the bottom horizontal. Then the line from Q to R makes angle 2 with the middle horizontal (at R), and the line from R to S makes angle 3 with the middle horizontal (at R).
- Then, the angle of elevation from Q to R: Q is on the top horizontal (above R? No, top horizontal is above middle, so Q is above R). So looking down from Q to R, angle of depression.
- Wait, I think I made a mistake. Let's recall the definition: Angle of elevation: the angle formed by a horizontal line and the line of sight to an object above the horizontal line. The observer is at the vertex of the angle (the lower point).
- Angle of depression: the angle formed by a horizontal line and the line of sight to an object below the horizontal line. The observer is at the vertex (the higher point).
- Now, angle 2 is at R, between the horizontal (middle line) and the line RQ. So if we consider the angle of elevation, the observer is at a point where the horizontal line and the line to R form angle 2. The line is RQ, so the observer is at Q. But Q is on the top horizontal (same level as the top line, which is horizontal through Q). The middle line is through R (lower than Q's horizontal). So from Q, looking down to R, that's angle of depression (angle 1 at Q). But angle 2 is at R.
- Wait, maybe the question has a typo, or I'm misinterpreting the diagram. Given the options, and the fact that angle 2 is at R, between the horizontal (middle line) and RQ, the most probable answer is that the angle of elevation is from "point Q to point R" (even though it's a bit confusing) because the line RQ goes from R to Q, and if we consider Q as a lower point? No, Q is higher. Wait, no, maybe the horizontal lines are: the middle line is horizontal, Q is to the left of R, on a line parallel to the middle line but above it? No, the top dashed line is through Q, so Q is on that line, R on the middle, S on the bottom.
- I think the intended answer is that Angle 2 is the angle of elevation from "point Q to point R" (first blank) and the second blank would be... Wait, no, the second dropdown is after "of". Wait, the question is "Angle 2 is the angle of elevation from [dropdown1] of [dropdown2]". So dropdown1 is the observer's point, dropdown2 is the target (R). So the angle of elevation from observer (dropdown1) to R (dropdown2) is angle 2.
- The line forming angle 2 is RQ, so the observer is at Q, looking at R. So "point Q to point R" is the answer.

# Answer:
The first dropdown: point Q to point R
The second dropdown: (assuming the second dropdown is for the target, but since the target is R, maybe it's a mistake, but based on options, the first part is "point Q to point R")

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