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

Short Answer

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