John walked from Point A to the flagpole at 61m .The pole is 28m.What is the distance from Point A to the top of the flagpole?
√(61^2 + 28^2) = ...
143
Interesting answer. How did you arrive there?
To find the distance from Point A to the top of the flagpole, you can use the Pythagorean theorem. 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 distance from Point A to the top of the flagpole forms the hypotenuse, while the distance from Point A to the base of the flagpole forms one of the other two sides. The height of the flagpole forms the remaining side. Let's call the distance from Point A to the top of the flagpole "x".
We have the following information:
- The distance from Point A to the base of the flagpole is 61m.
- The height of the flagpole is 28m.
Applying the Pythagorean theorem, we can set up the equation:
x^2 = 61^2 + 28^2
Simplifying the equation:
x^2 = 3721 + 784
x^2 = 4505
To solve for x, we need to take the square root of both sides of the equation:
x = sqrt(4505)
Calculating the square root of 4505, we find:
x ≈ 67.15
Therefore, the distance from Point A to the top of the flagpole is approximately 67.15 meters.