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Isha, 1.5 m tall, walks straight away from the foot of a 4.5 m lamp-post at 1.2 m/s. How long is her shadow after 4 seconds?

Competition practiceTrigonometry
  • A2.4 m
  • B1.6 m
  • C4.8 m
  • D3.6 m

Step-by-Step Solution

She is 4.8 m from the post. The light ray grazes her head, so (by similar triangles / equal tangents) 4.5/(4.8 + s) = 1.5/s, giving 4.5s = 7.2 + 1.5s and s = 2.4 m.
Answer: A) 2.4 m

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