Bailey6343
Bailey6343 Bailey6343
  • 16-12-2021
  • Mathematics
contestada

Lyla is 1.5 meters tall and casts a shadow 9 meters long. How long is the shadow of a flagpole 6 meters tall beside her?

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reinhard10158
reinhard10158 reinhard10158
  • 17-12-2021

Step-by-step explanation:

this creates 2 similar triangles.

that means all angles are the same. and all the side lengths of one triangle correlate to the corresponding side lengths of the other triangle by the same multiplication factor.

1.5 × f = 6

f = 6/1.5 = 4

the same factor now applies to the relation of the shadow lengths :

9 × 4 = 36 m

the shadow of the flagpole is 36 m long.

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