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To solve this problem, we can use similar triangles. From the diagram: - The height of the pole with the lamp is \( h = 8 \) meters. - The person is standing at a distance \( a = 14 \) meters from the pole. - The length of the shadow is \( b = 3.5 \) meters. Let's denote the height of the person as \( x \). Using the properties of similar triangles, the ratios of corresponding sides are equal: \[ \frac{x}{b} = \frac{h}{a + b} \] Substituting the known values: \[ \frac{x}{3.5} = \frac{8}{14 + 3.5} \] Simplify \( 14 + 3.5 = 17.5 \), so the equation becomes: \[ \frac{x}{3.5} = \frac{8}{17.5} \] Cross-multiply to solve for \( x \): \[ x \times 17.5 = 3.5 \times 8 \] \[ x \times 17.5 = 28 \] \[ x = \frac{28}{17.5} \] \[ x = 1.6 \] So the height of the person is 1.6 meters.