This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Here's how to solve this problem: The problem describes a right-angled triangle where: • The height of the pole is one leg, a = 12 m. • The length of the wire is the hypotenuse, c = 15 m. • The distance from the pole to the point where the wire is fixed to the ground is the other leg, b = x. Step 1: Apply the Pythagorean theorem, which states that in a right-angled triangle, the square of the hypotenuse (c) is equal to the sum of the squares of the other two sides (a and b). a^2 + b^2 = c^2 Substitute the given values: 12^2 + x^2 = 15^2 Step 2: Calculate the squares of the known values. 144 + x^2 = 225 Step 3: Isolate x^2 by subtracting 144 from both sides of the equation. x^2 = 225 - 144 x^2 = 81 Step 4: Take the square root of both sides to find the value of x. x = sqrt(81) x = 9 The distance from the pole to the point where the wire is fixed to the ground is 9 m. That's 2 down. 3 left today — send the next one.