Question

Raman is 6 feet tall and is standing outside next to his younger

sister Manya. He notices that he can see both of their shadows and

decides to measure each shadow. His shadow is 8 ft. long and his sister’s shadow is 5ft, long

(i)To find the height of Raman’s sister with the given information, the

(ii) The symbolic form of similarity of ABC and POR is



iii) The criterion used for similarity of ABC and PQR is


(iv)Which of the following relation will be used to find the height of



(v) Height of the Manya is​

Answer 1

Solution :-

In ∆ABC and ∆PQR we have,

→ ∠ABC = ∠PQR { Both are standing vertically on the ground , so angle is equal to 90° .}

→ ∠ACB = ∠PRQ = θ { At same time angle of elevation of sun is same. }

so,

→ ∆ABC ~ ∆PQR { By AA similarity. }

then,

→ AB/PQ = BC/QR

→ 6/PQ = 8/5

→ 8•PQ = 6 * 5

→ PQ = 30/8

→ PQ = 3.75 feet (Ans.)

Hence, Height of the Manya is 3.75 feet .

Learn more :-

two vertical poles of different height are standing 25 metre away from each other on the same level ground the angle of ...

https://brainly.in/question/11668221

The angle of depression of the top and bottom of a 12m tall building from the top of a multi storeyed building are 30 an...

https://brainly.in/question/2958100