Answer:
To solve this problem, you will need to use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
In this case, the math teacher is 2 meters ahead of Sasha and the science teacher is 4 meters to the right of Sasha, so we can draw a right triangle with one side being 2 meters long, one side being 4 meters long, and the hypotenuse being the distance between the two teachers.
Using the Pythagorean theorem, we can calculate the length of the hypotenuse as follows:
(hypotenuse)^2 = (2)^2 + (4)^2
hypotenuse = sqrt((2)^2 + (4)^2)
hypotenuse = sqrt(20)
hypotenuse = 4.47214
Rounding to the nearest tenth, the distance between the two teachers is approximately 4.5 meters. Therefore, the correct answer is d) 4.5 meters.
Step-by-step explanation: