what is the hietgh difference between 2 walls 6 metres apart to get a 17.5 degree pitch
let x be the height difference.
According to the sketch I made
tan 17.5° = x/6
x = 6tan17.5 = 1.89 metres
To calculate the height difference between two walls at a given distance apart to achieve a specific pitch angle, you can use trigonometry.
Let's assume the distance between the two walls is 6 meters. We need to find the height difference that results in a 17.5-degree pitch angle.
Step 1: First, convert the pitch angle from degrees to radians. To do this, divide the angle by 180 and multiply by π (pi).
17.5 degrees = (17.5/180) * π ≈ 0.305 radians
Step 2: Use the tangent function (tan) to calculate the height difference. The formula is:
Height difference = Distance * tan(pitch angle)
Height difference = 6 * tan(0.305)
Step 3: Calculate the height difference using a calculator. After performing the multiplication and trigonometric function, you will get the height difference.
Height difference ≈ 1.351 meters
Therefore, to achieve a 17.5-degree pitch angle between two walls 6 meters apart, there needs to be a height difference of approximately 1.351 meters.