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A Surveyor Is Standing at Point A, 403 Feet Away i,j,k\vec { i } , \vec { j } , \vec { k }

Question 66

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A surveyor is standing at point A, 403 feet away from a tall building.Let i,j,k\vec { i } , \vec { j } , \vec { k } be the direction of east, north and up respectively.She observes that a vector in the direction of AC\overrightarrow { A C } is 12i+5j+15k12 \vec { i } + 5 \vec { j } + 15 \vec { k } , where C is the highest point of the building.
What is the height of the building?

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