CASE STUDY QUESTION 26-Class X-Maths

CASE STUDY QUESTION 26-Class X-Maths

Anjali places a mirror on level ground to determine the height of a tree (see the diagram). She stands at a certain distance so that she can see the top of the tree reflected from the mirror. Anjali’s eye level is 2 m above the ground. The distance of Anjali and the tree from the mirror are 1.4 m and 2.8 m respectively.

(ii) State the criterion of similarity, that will be used in the above found triangles.
(a) RHS (b) SSS (c) SAS (d) AA

(iii) What is the height of the tree?
(a) 4 m (b) 5 cm (c) 6 m (d) 7 cm

(iv) If we want to calculate the distance of the mirror from the top of the tree, then which property will be used?
(a) Thales theorem (b) Converse of Thales theorem
(c) Pythagoras theorem (d) Converse of Pythagoras theorem

Answer: (c) Pythagoras theorem

(v) What is the distance between Rashmi and Gulmohar tree?
(a) 3.2 m (b) 5.2 m (c) 4.2 m (d) 2.2 m

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