Question

The FOV of a sensor (for a scene) placed at a nadir height of 6 km is 90 degree. The ground swath width of the scene is __________________ km (in integer).

Hint:

The ground swath width is calculated using the tangent of half the FOV, multiplied by twice the nadir height.

Answer 1

Correct Answer: 12

The formula for the ground swath width \( W \) of the scene, given the field of view (FOV) and nadir height \( h \), is: \[ W = 2h \times \tan\left(\frac{\text{FOV}}{2}\right). \] Given: - \( h = 6 \, \text{km} \)
- \( \text{FOV} = 90^\circ \)
Substitute the values into the formula: \[ W = 2 \times 6 \times \tan\left(\frac{90^\circ}{2}\right) = 12 \times \tan(45^\circ) = 12 \times 1 = 12 \, \text{km}. \] Thus, the ground swath width of the scene is 12 km.