Question

Katoomba scenic railway in australia is the steepest railway in the world. the railway makes an angle of about 52º with the ground. the railway extends horizontally about 458 feet. what is the height of the railway? round your answer to the nearest foot

Answer 1

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.


`tan \ 52 = (y)/(x)`

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

The height of the railway is 586 feet