An Indian Railways train climbs a gradient of 1 in 100 (1 unit vertical per 100 units travelled). The angle of the track is:

An Indian Railways train climbs a gradient of 1 in 100 (1 unit vertical per 100 units travelled). The angle of the track is:

• A. sin⁻¹(0.01)
• B. tan⁻¹(0.01)
• C. cos⁻¹(0.01)
• D. sec⁻¹(0.01)

Answer: A) sin⁻¹(0.01)

Explanation: Vertical rise = 1, hypotenuse (distance travelled) = 100. sin(θ) = 1/100 = 0.01. So, θ = sin⁻¹(0.01).