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The angles of elevation of the top of a vertical tower from two points on the ground, 4 m and 9 m from its foot and in the same straight line with it, are complementary. The height of the tower is:

Competition practiceTrigonometry
  • A6.5 m
  • B6 m
  • C13 m
  • D36 m

Step-by-Step Solution

If the elevation from the near point is α, the elevation from the far point is 90° − α. Then tanα = and tan(90° − α) = cotα = , so , giving and m.
Answer: B) 6 m

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