Question

20. Case Study based-4

Teacher gives an activity to the students to measure the height of

the tree and ask them who will do this activity. Anju accepts the

challenges .she places a mirror on level ground to determine the

height of a tree. She stands at a certain distance so that she can

see the top of the tree reflected from the mirror. Anju’s eye level is

1.8 m above ground, the distance of Anju and the tree from the

mirror are 1.5 m and 2.5 m respectively. Answer the question below


(i) Name the two similar triangles

formed

(a) △ABM~ △CMD

(b) △AMB~ △CDM

(c) △ABM~△CDM

(d) None of these


(ii) State the criteria of similarity that is applicable here

(a) SSS criterion

(b) SAS criterion

(c) AA criterion

(d) ASA criterion


(iii) .the height of the tree is

(a) 3 m

(b) 3.5 m

(c) 2.5 m

(d) 4 m

(iv) If △AMB and △CDM are similar and CD= 6 cm , MD = 8 cm , and

BM = 24 cm then AB = ?

(a) 17 cm

(b) 18 cm

(c) 12 cm

(d) 24 cm


(v) In △AMB if ∠BAM = 300

,then ∠MCD = ?

(a) 400

(b) 450

(c) 600

(d) 300
​

Answer 1

Answer:

Option c is the answer to the above question

Answer 2

Step-by-step explanation:

1) option c

2)aa criteria

3) if two triangles are similar:

Ab/bm=cd/md

Ab/2.5= 1.8/1.5

Ab = 3 m

4)two triangles are similar then

By converse of bpt

Ab =18 cm