Question

The Duquesne Incline in Pittsburgh, Pennsylvania, has an angle of elevation of 30º. The track has a length of about 800 feet. Find the height of the incline.

Answer 1

Answer:

The height of the incline is 462 feet

Step-by-step explanation:

Here, we are asked to calculate height, given the angle of elevation.

When we talk about angle of elevation, we refer to the observation angle that we have when we look up from a position which is at the base.

Please check attachment for diagrammatic representation of the question terms.

From the attachment, we can see that we have a right angled triangle. We are asked to calculate the opposite given the adjacent.

Thus the trigonometric identity to use is the Tangent

Tan 30 = h/800

h = 800 * Tan 30 = 461.88 approximately 462 feet