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The angles of elevation of the top of a tower from two points 4 m and 25 m from its foot, on the same side and in line with it, are complementary. Find the height of the tower.

Competition practiceTrigonometry
  • A10 m
  • B14.5 m
  • C21 m
  • D100 m

Step-by-Step Solution

tan θ = and tan(90° − θ) = cot θ = . Multiplying, , so m. (The height is √)
Answer: A) 10 m

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