A student travels 300m towards North and then 400m towards East to reach his school. Calculate the distance of his school from his home.
d = 300 + 400 m. = 700 m.
300-300+400
To calculate the distance of the school from the student's home, we can use the Pythagorean theorem as the student has traveled both north and east.
The Pythagorean theorem 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.
In this case, the North and East distances traveled by the student form the legs of the right-angled triangle, and the distance of the school from the home is the hypotenuse.
To calculate the distance:
1. Square the distance traveled towards North: 300m^2 = 90000m^2.
2. Square the distance traveled towards East: 400m^2 = 160000m^2.
3. Add the squared distances together: 90000m^2 + 160000m^2 = 250000m^2.
4. Take the square root of the sum to find the distance of the school from the home: √250000m^2 = 500m.
Therefore, the distance of the school from the student's home is 500 meters.