Question

Assuming a loudspeaker coverage angle of 90 degrees, a mounted loudspeaker height of 12 feet (3.7 meters), and listeners who are seated, what is the diameter of coverage?

Answer 1

To determine the diameter of coverage, we can use basic trigonometry and the tangent function. Therefore, the diameter of coverage would be approximately 7.4 meters.

Step-by-step explanation:

We must apply fundamental trigonometry to ascertain the diameter of coverage for a loudspeaker positioned at a height of 12 feet and with a 90-degree coverage angle.

The height must first be converted from feet to meters. Twelve feet is about three meters.

Next, we can determine the coverage diameter by using the tangent function. We can determine the height on the other side by taking the tangent of half the coverage angle. We can find the diameter by multiplying this by two. Consequently, the coverage's diameter would be roughly 7.4 meters.