• # question_answer Direction: Q. 11 to 15 Gaurav placed a light bulb at a point O on the ceiling and directly below it placed a table. He cuts a polygon, say a quadrilateral PQRS, from a plane cardboard and place this cardboard parallel to the ground between the lighted bulb and the table. Then a shadow of PQRS is cast on the table as PQRS. Quadrilateral P'Q'R'S' is an enlargement of the quadrilateral PQRS with scale factor $\text{1}:\text{3}$ Given that $\text{PQ}=\text{2}.\text{5cm},$ $\text{QR}=\text{3}.\text{5 cm}$. $\text{RS}=\text{3}.\text{4 cm}$ and $\text{PS}=\text{3}.\text{1 cm};$ $\angle P=115{}^\circ ,$ $\angle Q=95{}^\circ ,$ $\angle R=65{}^\circ$and $\angle S=85{}^\circ$.     Based on the given information, give the answer of the following questions: The length of R'S' is: A) $\text{3}.\text{4 cm}$ B) $\text{1}0.\text{2 cm}$ C) $\text{6}.\text{8 cm}$ D) $\text{9}.\text{5 cm}$

 Given, scale factor is $1:3$ $R'S'=3RS$ $\therefore \,\,\,\,\,\,\,\,\,R'S'=3\times 3.4=10.2\,cm$ So, option [b] is correct.