2. Nora is \( 5^{\prime} 3^{\prime \prime} \) tall and standing near the 252 -foot tall Pilgrim Monument in Massachusetts. If she casts 9-foot long shadow, find the length of the shadow casted by the monument.

To find the shadow length of the monument, we can set up a proportion based on the heights and the lengths of the shadows. Nora's height is \( 5 \) feet \( 3 \) inches, which converts to \( 5.25 \) feet. The proportion is established as follows: \[ \frac{\text{Height of Nora}}{\text{Length of Nora's Shadow}} = \frac{\text{Height of the Monument}}{\text{Length of the Monument's Shadow}} \] Substituting the known values: \[ \frac{5.25}{9} = \frac{252}{x} \] Cross-multiplying gives us: \[ 5.25 \cdot x = 252 \cdot 9 \] Calculating the right side: \[ 252 \cdot 9 = 2268 \] Now, we divide both sides by \( 5.25 \): \[ x = \frac{2268}{5.25} \approx 432. \] So, the length of the shadow cast by the monument is approximately \( 432 \) feet.