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A 5m 60cm pole casts a …

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A 5m 60cm pole casts a shadow 3m 20cm long . Find at the same time a)the length of the shadow cast by another pole 10m 50cm high b)the height of a pole casts a shadow 5m long
  • 1 answers

Sia ? 6 years, 5 months ago

Height(x)

5.6

10.5

?

Length(y)

3.2

?

5

{tex}\frac{{{x_1}}}{{{y_1}}} = \frac{{{x_2}}}{{{y_2}}} = \frac{{{x_3}}}{{{y_3}}}{/tex}
{tex}\frac{{5.6}}{{3.2}} = \frac{{10.5}}{{{y_2}}} = \frac{{{x_3}}}{5}{/tex}

  1. {tex}\frac{{5.6}}{{3.2}} = \frac{{10.5}}{{{y_2}}}{/tex}
    {tex} \Rightarrow {y_2} = \frac{{10.5 \times 3.2}}{{5.6}} = 6cm{/tex}
  2. {tex}\frac{{5.6}}{{3.2}} = \frac{{{x_3}}}{5}{/tex}
    {tex} \Rightarrow {x_3} = \frac{{5.6 \times 5}}{{3.2}} = 8.75m{/tex}
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