A beam with an angle of 11 degrees will be more than how many feet wide at a point 200 feet down the road?

To determine how wide a beam with an angle of 11 degrees will be at a distance of 200 feet, you can use basic trigonometry. The width of the beam at a distance can be calculated using the tangent of half the angle.

First, you need to find the angle in radians. For 11 degrees, half of that angle is 5.5 degrees. The tangent function relates the width of the beam (the distance from one side of the beam to the other) to the angle and is calculated using the formula:

Width = 2 * (Distance) * tan(Angle/2).

Plugging in the values, you have:

Width = 2 * 200 feet * tan(5.5 degrees).

Calculating the tangent of 5.5 degrees gives approximately 0.0962. So, the equation becomes:

Width ≈ 2 * 200 * 0.0962 ≈ 38.48 feet.

Since we seek a value that is more than this calculated width, the correct choice, indicating a width of more than 38 feet, is the one that aligns best with the calculation. Therefore, the answer is correct because the width at that angle and distance exceeds 38