A vertical stick 12 m long …

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Sia ? 6 years, 6 months ago
Let AB be the vertical stick and AC be its shadow. Also, let DE be the vertical tower and DF be its shadow. Join BC and EF. Let DE = x metres.


We have,
AB = 12 m, AC = 8m, and DF = 40m.
In {tex}\Delta{/tex} ABC and {tex}\Delta{/tex}DEF, we have,
{tex}\angle{/tex}A = {tex}\angle{/tex}D = 90° and {tex}\angle{/tex}C = {tex}\angle{/tex}F [Angular elevation of the sun]
Therefore, by AA- criterion of similarity, we obtain {tex}\Delta A B C \sim \Delta D E F{/tex}
{tex}\Rightarrow \quad \frac { A B } { D E } = \frac { A C } { D F }{/tex}
{tex}\Rightarrow \quad \frac { 12 } { x } = \frac { 8 } { 40 } \Rightarrow \frac { 12 } { x } = \frac { 1 } { 5 } \Rightarrow x {/tex} = 60 metres
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