A drainage pipe has an angle of elevation of 2.3° over a distance of 102 feet. What is the rise in height of the pipe?

Answer 1

To find the rise in height of the pipe, we need to use trigonometry.

The angle of elevation, given as 2.3°, represents the angle between the horizontal ground and the line of sight to the top of the pipe.

Let's call the rise in height of the pipe as "h".

Using the tangent function, we can set up the equation:

tan(2.3°) = h / 102 feet

Solving for h, we multiply both sides of the equation by 102 feet:

h = tan(2.3°) * 102 feet

Using a calculator, we find that tan(2.3°) ≈ 0.0402.

Plugging in this value, the rise in height of the pipe is:

h ≈ 0.0402 * 102 feet ≈ 4.10 feet

So, the rise in height of the pipe is approximately 4.10 feet.