Angle of Projection

The angle at which a ball is projected with respect to the horizontal is known as the angle of projection or theta (θ).

Maximum Height

When a ball is projected at an angle, it follows a curved trajectory. The highest point of this trajectory is known as the maximum height.

Angle of Elevation

The angle of elevation is the angle between the horizontal line and the line of sight or the line connecting the observer to the object above the horizontal level.

Relation between Angle of Projection and Angle of Elevation

To find the angle of elevation at the highest point of the ball's trajectory, we can use the relation between the angle of projection (θ) and the angle of elevation.

- The angle of projection is the angle at which the ball is projected with respect to the horizontal.
- The angle of elevation is the angle at which the ball is observed from a reference point.

Calculation

Let's consider a right-angled triangle formed by the line connecting the observer to the highest point of the ball's trajectory, the horizontal line, and the line connecting the observer to the point of projection.

Using trigonometry, we can relate the angles and sides of this triangle.

- The side opposite to the angle of elevation is the height of the triangle, which is equal to the maximum height of the ball's trajectory.
- The side adjacent to the angle of elevation is the horizontal distance between the observer and the point of projection.

In this triangle, we can apply the trigonometric function tangent (tan), which relates the opposite and adjacent sides of a right-angled triangle.

The correct option for the angle of elevation at the highest point is:

A. tan(θ/2)

Explanation: The angle of elevation at the highest point is half of the angle of projection (θ/2). Therefore, the correct option is A, tan(θ/2).

Answer A hai kya??