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 — Step 1: Identify the given information and the unknown. The shadow length is the adjacent side to the angle of elevation, and the height of the flagpole is the opposite side. Given: • Shadow length (adjacent) = 6.3 m • Angle of elevation () = 65^ • Height of flagpole (opposite) = h (unknown) Step 2: Choose the appropriate trigonometric ratio. Since we have the adjacent side and need to find the opposite side, we use the tangent function: () = oppositeadjacent Step 3: Substitute the values into the formula. (65^) = (h)/(6.3) Step 4: Solve for h. h = 6.3 × (65^) h = 6.3 × 2.1445069 h ≈ 13.51 m The height of the flagpole is approximately 13.51 m. Got more? Send 'em!