A) 65 m
B) 60 m
C) 70 m
D) 72 m
Correct Answer: B
Solution :
[b] 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 \[DE=xm\] |
We have, \[AB=12m,\]\[AC=8m,\]and \[DF=40m.\] |
In \[\Delta ABC\] and \[\Delta DEF,\] |
We have, \[\angle A=\angle D=90{}^\circ \] |
\[\angle C=\angle F\] (Angular elevation of the Sun) |
\[\therefore \,\,\,\Delta ABC\tilde{\ }\Delta DEF\](By AA similarity criterion) |
\[\Rightarrow \,\,\,\,\,\frac{AB}{DE}=\frac{AC}{DF}\,\,\,\,\Rightarrow \,\,\,\frac{12}{x}=\frac{8}{40}\,\,\,\,\Rightarrow \,\,\,\frac{12}{x}=\frac{1}{5}\Rightarrow \,x=60m\] |
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