Roller Coaster Hill Height Formula | Triangulation Problem Solution

[drobtj2]

Homework Statement

Derive a formula to calculate the height of the top of a hill on a roller coaster using triangulation. Final answer should be in terms of d, angle 1, and angle 2. There are two points on the ground. Angle 1 is the angle formed between the ground and a line that goes from the point closer to the hill to the top of the hill. Angle 2 is the angle formed between the ground and a line that goes from the point further away to the top. d is the distance between the two points.

Homework Equations

(trigonomotry)

The Attempt at a Solution

 

[Dick]

That's an angle-side-angle problem in, you guessed it, trigonometry. Get started. No one will help you unless you try to start.