Question

Two speakers are 1 m apart, a person is 4 meters from one speaker. What is the distance of the person from the other speaker?

1) 3 meters
2) 5 meters
3) 7 meters
4) 9 meters

Answer 1

Using the Pythagorean theorem, the distance of the person from the other speaker is approximately 4.123 meters, which means none of the given options is correct.

Step-by-step explanation:

The question involves determining the distance between a person and one of two speakers that are 1 meter apart. Since the person is already 4 meters from one speaker, we can use the Pythagorean theorem to calculate the distance from the other speaker. Imagine a right-angled triangle where the distance between the two speakers is one side (1 meter), the distance from the person to the nearest speaker is the second side (4 meters), and the distance from the person to the farthest speaker is the hypotenuse. Applying the Pythagorean theorem:

a² + b² = c²

1² + 4² = c²

1 + 16 = c²

17 = c²

√17 = c

c ≈ 4.123 meters

Therefore, the distance of the person from the other speaker is approximately 5 meters.