Answer:
5624.22 feet
Explanation:
You want to know the distance from a skyscraper 1465 ft tall to a point where the angle of elevation to its top is 14.6°.
Tangent
The tangent relation tells you ...
Tan = Opposite/Adjacent
Application
The distance between buildings is the side of the right triangle adjacent to the angle of elevation. The height of skyscraper B is the side opposite the angle of elevation. Using the tangent relationship, we can find the distance d between the buildings as ...
tan(14.6°) = 1465/d
c = 1465/tan(14.6°) ≈ 5624.22 . . . ft
The distance from A to B is about 5624.22 feet.
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