JEE Advanced Mathematics question
Not in JEE syllabus
The angle of elevation of the top of a hill from each of the vertices A, B, C of a horizontal triangle is . The height of the hill is
Answer: (B),(C)
Solution
Let the height be . The foot of the hill is at horizontal distance from each vertex (same elevation from each). A point equidistant from A, B, C is the circumcentre, so
R = hα ⇒ h = Rα.
By the sine rule, $ = =
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