Math CentralQuandaries & Queries


Question from fhay, a student:

An antenna stands on the edge of the top of a 52 story building from a point 320 ft. from the base of the building, the angle of elevation to the top of the antenna is 64 degrees in each story is 12 ft. high. Find the  height of the antenna

Hi Fhay. I drew a sketch on the right and a geometrical diagram below to match your question.

Use the TAN (tangent) function to relate the two legs of this right triangle:


Solve for x.

Hope this helps,
Stephen La Rocque.

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