In Rockstone City, no building is permitted to be taller than the monument to the city’s first mayor, Mayor Rockstone. A new developer wants to build an apartment building in Rockstone City, but does not know how tall the monument to Mayor Rockstone is. A 35-foot telephone pole next to the monument casts a shadow that is 15 feet long. If the monument’s shadow is 257 feet long at the same time of day, how tall is the monument to Mayor Rockstone? Express your answer to the nearest whole number of feet.

To calculate the height of the monument we can calculate it proportionally based on the height of the pole, for this we must identify how many shadows of the pole the shadow of the monument is equivalent to:

257 ÷ 15 = 17.33

Based on the above, we can infer that the monument is 17.33 times larger than the pole. For the above, we multiply the height of the post by 17.33

35 × 17.33 = 599.66

So we can establish that the height of the monument is more or less 599.66 feet high, because of the shadow it casts.

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