Math CentralQuandaries & Queries


Question from Lin, a student:

How do surveyors determine a height of a building 150 feet away with an observation angle at 40 degrees?
What is the elevation of that top floor?

Hi Lin,

Here is my diagram.


What trig function relates the height of the building, $h$ feet, the distance to the base of the building, 150 feet and the measure of the angle, $40^o?$


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