18. In an art exhibition, a …

18. In an art exhibition, a 3-m tall statue is placed at point T with a spotlight shinning at the statue from the Point P. A shadow, RS, of the statue is formed on the wall at point S. The height of the shadow is 7.5 m long and the distance between the spotlight and the statue is 4 cm. On the basis of above information, answer the following questions : (i) The distance, PS, of the spotlight from the wall is: (a) 7.4 m (b) 10 m (c) 11.2 m (d) 12.4 m (ii) The distance, TS, of the statue from the wall is: (a) 3.8 m (b) 4.6 m (c)5 m (d) 6 m (iii) The distance, PQ, between the spotlight and the top of the statue is : (a) 5 m (b) 6 m (c)8 m (d) 10 m (iv) The distance, PR, between the spotlight and the top of the shadow is : (a) 10 m (b) 12.5 m (c) 13.2 m (d) 14.4 m (v) If the area of PTQ is 6 sq m , then the area of the quadrilateral QTSR is : (a) 31.1 sq m (b) 28.5 sq m (c) 26.8 sq m (d) 26 sq m

(A + B )²

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