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Similarity, SMB-004

A traffic light is 2.4 m tall. Its shadow from a nearby floodlight is 3 m long.
 

What is the height of the floodlight?   (3 marks)

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`text(4.0 m)`

Show Worked Solution

`text{Triangles share common angle and both have right angles}`

`=>\ text{Triangles are similar (equiangular)}`

`text{Since corresponding sides are in similar ratios:}`

`h/5` `= 2.4/3`
`:. h` `= (5 xx 2.4)/3`
  `= 4\ text(metres)`

Filed Under: Similarity Tagged With: num-title-ct-corea, smc-4746-20-Similar triangles, smc-4746-50-Real world applications

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