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
45. Step 1: Visualize the problem as a right-angled triangle. The vertical wall is the opposite side, and the distance from the foot of the wall to the point on the ground is the adjacent side. The angle of depression from the top of the wall to the point on the ground is equal to the angle of elevation from the point on the ground to the top of the wall. Let this angle be . Given: Height of the wall (opposite side) = 12 m Distance from the foot of the wall (adjacent side) = 5 m Step 2: Use the tangent function, which relates the opposite and adjacent sides to the angle. () = oppositeadjacent () = (12)/(5) Step 3: Calculate the value of (). () = 2.4 Step 4: Find the angle by taking the inverse tangent (arctan). = (2.4) Step 5: Calculate the angle and round to the nearest degree. ≈ 67.38^ Rounding to the nearest degree, ≈ 67^. The final answer is B. 67^. What's next?