Question 475051
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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 *[tex \Large 180\ -\ (35\ +\ 23)] degrees.


Then use the Law of Sines to calculate the measure of either side a or side c:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \frac{a}{\sin{A}}\ =\ \frac{b}{\sin{B}}\ =\ \frac{c}{\sin{C}}]


Then use:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ h\ =\ c\sin(35)\ =\ a\sin(23)]






John
*[tex \LARGE e^{i\pi} + 1 = 0]
My calculator said it, I believe it, that settles it
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