A Surveyor Wants to Measure the Height of a Building $\overrightarrow { A C }$

question 24

Short Answer

A surveyor wants to measure the height of a building.At point A = ( 733, -369, 0)on the ground, she observes that the vector $\overrightarrow { A C }$ is parallel to $- 3 \vec { i } + 2 \vec { j } + 6 \vec { k }$ , where C is the highest point of the building.At point B = (418, 471, 0)she observes that the vector $\overrightarrow { B C }$ is parallel to $- 3 \vec { i } - 4 \vec { j } + 12 \vec { k }$ .Given that ground level is the plane z = 0 and the units are feet, find the height of the building.

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Definitions:

Spermarche

Spermarche refers to the first occurrence of ejaculation in males, marking a significant milestone in male puberty.

Concrete Operational Stage

A stage in Piaget’s theory of cognitive development, where children (aged about 7 to 12 years) gain the ability to think logically about concrete events.

Mathematical Variables

Symbols or letters that represent numbers or values in mathematical equations, allowing for the description of general relationships or formulas.

Hypothetical Entities

Concepts or objects that are assumed for the sake of argument or investigation, even if they may not actually exist.