SOLUTION: Two students are 180 feet apart on opposite sides of a telephone pole. The angles of elevation from the students to the top of the pole are 35 degrees and 23 degrees. Find the heig
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Question 475051: Two students are 180 feet apart on opposite sides of a telephone pole. The angles of elevation from the students to the top of the pole are 35 degrees and 23 degrees. Find the height of the telephone pole.
I have drawn out the triangles with the telephone pole in the middle & labeled the distances of 180 feet.
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Label your triangle thusly for purposes of this communication. The 35 degree angle is A, the angle at the top of the telephone pole is B, and the 23 degree angle is C. Then the 180 foot side is side b, the side opposite the 35 degree angle is a, and the side opposite the 23 degree angle is c.
Use the fact that the sum of the interior angles of a triangle is 180 degrees. So angle B measures )
degrees.
Then use the Law of Sines to calculate the measure of either side a or side c:
Then use:
\ =\ a\sin(23))
John
My calculator said it, I believe it, that settles it
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