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.

Answers

Answer 1

The Rockstone City Mayor's Monument is roughly 599.55 feet.

How to calculate the height of the monument?

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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FLUID P IS WATER AND FLUID Q IS MERCURY. IF THE SPECIFIC GRAVITY OF MERCURY IS 13.6 AND ATMOSPHERIC PRESSURE IS 101.3 kPa. What's the absolute pressure at A when h¹= 15cm and h²= 30cm

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Answer:

A mercury manometer is used to measure the pressure difference in vessels A and B. Determine the pressure difference (PA – PB) in Pascals.Liquid in vessels A and B is oil with SG = 0.85,I think this is the answer

The absolute pressure in the fluid at A is about 59.984 kPa

How can the absolute pressure in a fluid be calculated?

The absolute pressure at the point A can be calculated using the formula P = Patm + ρ·g·h, where P is the absolute pressure, Patm is the atmospheric pressure, ρ is the density of the fluids, g is the acceleration due to gravity, h is the height of the fluid column above point A

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P = 101.3 kPa - 1.47 kPa - 39.984 kPa = 59.846 kPa

The absolute pressure, at A is about 59.984 kPa

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Answer:

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