Katoomba scenic railway in Australia is the steepest railway in the world. The railway makes an angle of 52 degrees with the ground. The railway extends horizontally about 458 ft. What is the height of the railway?

Answer 1

here hope this helps

Let the horizontal distance = x = 458 feet
And the vertical distance which is the height = y
The railway makes an angle of about 52º with the ground.

∴ y = x tan 52° = 458 * tan 52° = 586.21 feet ≈ 586 feet

The height of the railway is 586 feet