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
Step 1: Identify the similar triangles. The large triangle has height h m (lamp-post) and base 3 + 2 = 5 m. The small triangle has height 1.8 m (man) and base 2 m. Step 2: Set up the proportion from similar triangles. (h)/(5) = (1.8)/(2) Step 3: Cross-multiply to solve for h. h = (1.8 × 5)/(2) Step 4: Calculate the numerator. 1.8 × 5 = 9 Step 5: Divide by the denominator. h = (9)/(2) = 4.5 The lamp-post is 4.5 m high. 4.5 m