Final answer:
To find the distance between Dale's math and science teachers, we use the Pythagorean theorem. The distance is the square root of the sum of the squares of the legs of a right triangle formed by their positions. The calculation gives us a distance of 5 meters.
Step-by-step explanation:
The question involves finding the distance between two points (Dale's math teacher and science teacher) positioned at a right angle in terms of Dale's seating. Since one teacher is seated 4 meters ahead and another is 3 meters to the right, we can visualize this as a right-angled triangle where the teachers represent the two legs of the triangle. According to the Pythagorean theorem, which states that in a right-angled triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides, we can calculate the distance between the two teachers.
To find the hypotenuse (the distance between the two teachers), we use the formula:
Distance = √(a² + b²)
Where a is the distance ahead (4 meters) and b is the distance to the right (3 meters).
So, the calculation will be:
Distance = √(4² + 3²)
Distance = √(16 + 9)
Distance = √25
Distance = 5 meters
Therefore, the two teachers are 5 meters apart, which corresponds to option A.