Angles of Depression from Observing Positions D and E
Position D at an Angle of 60°:
- When observing an object A from position D at an angle of 60°, the angle of depression is the angle between the line of sight from the observer (D) to the object (A) and the horizontal line.
- This means that the angle of depression from position D is 60°.
Position E at an Angle of 45°:
- Similarly, when observing the same object A from position E at an angle of 45°, the angle of depression is the angle between the line of sight from the observer (E) to the object (A) and the horizontal line.
- Therefore, the angle of depression from position E is 45°.
Explanation:
- The angles of depression are measured downwards from the line of sight to the object and are important in determining the height or distance of the object from the observer.
- These angles help in calculating the vertical and horizontal distances between the observer and the object using trigonometric functions such as sine, cosine, and tangent.
- By knowing the angles of depression from different observing positions, one can accurately locate and determine the position of the object in relation to the observer.
In conclusion, the angles of depression from observing positions D and E at 60° and 45° respectively provide crucial information for determining the position and distance of the object A from each observer.