Question

Katoomba Scenic Railway in Australia is the steepest railway in the world. The railway makes an angle of about 52 degrees 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

Answer:

The height of the railway = 361 feet

Step-by-step explanation:

This question can be solved by applying the required trigonometric function. Let the height of the railway be represented by h.

Sin θ = $\frac{opposite}{hypotenuse}$

Sin 52 = $\frac{h}{458}$

h = Sin 52 x 458

  = 0.788 x 458

  = 360.904

h = 361

So that, the railway is 361 feet high.