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 PQRS. 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: |
A) \[\text{3}.\text{4 cm}\]
B) \[\text{1}0.\text{2 cm}\]
C) \[\text{6}.\text{8 cm}\]
D) \[\text{9}.\text{5 cm}\]
Correct Answer: B
Solution :
Given, scale factor is \[1:3\] |
\[R'S'=3RS\] |
\[\therefore \,\,\,\,\,\,\,\,\,R'S'=3\times 3.4=10.2\,cm\] |
So, option [b] is correct. |
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