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
You're on a roll — let's solve this. Step 1: Identify the knowns and the unknown. The ladder, the wall, and the ground form a right-angled triangle. The length of the ladder is the hypotenuse* (H) = 10 m. The angle between the ladder and the ground is θ = 30°. The height reached on the wall is the side opposite* (O) to the angle θ. Step 2: Choose the appropriate trigonometric ratio. We know the hypotenuse and the angle, and we want to find the opposite side. The sine function relates these three: sin(θ) = Opposite / Hypotenuse Step 3: Substitute the values and solve for the unknown. sin(30°) = Height / 10 m We know that sin(30°) = 0.5. 0.5 = Height / 10 m Height = 0.5 × 10 m Height = 5 m Step 4: State the final answer. The height reached on the wall is 5 m. What's next?