A 10-meter ladder, is resting against the top of a building. If the bottom of the ladder is 4 meters from the building, how many meters tall is the building
Use Pythagorean theorem.
4^2 + t^2 = 10^2
Solve for t.
To find out how many meters tall the building is, you can use the Pythagorean theorem, which states that in a right-angled triangle, the square of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides.
In this case, the ladder forms a right-angled triangle with the building acting as one side, the ground acting as the other side, and the ladder forming the hypotenuse.
Given that the bottom of the ladder is 4 meters from the building and the ladder itself is 10 meters long, we can use the Pythagorean theorem to solve for the height of the building.
Let's denote the height of the building as 'h'. According to the Pythagorean theorem:
h² + 4² = 10²
Simplifying the equation:
h² + 16 = 100
Subtracting 16 from both sides:
h² = 84
Taking the square root of both sides:
h ≈ √84
Using a calculator, we find that the square root of 84 is approximately 9.165.
Therefore, the height of the building is approximately 9.165 meters.