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A vertical stick 6 m long casts a shadow 4 m long on level ground. At the same moment a nearby tower casts a shadow 28 m long. The height of the tower is:

Competition practiceTrigonometry
  • A42 m
  • B40 m
  • C56 m
  • D18 m

Step-by-Step Solution

The sun's altitude is the same for both, so height/shadow is the same ratio: tanθ = 6/4 = 3/2. The tower's height is m. Using shadow/height instead gives the wrong ≈ 18 m.
Answer: A) 42 m

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