Question

18. Case Study based-2:
In an international school in Hyderabad organised an Interschool Throwball Tournament forgiris just aft
the pre- board exam. The throw ball team was very excited. The team captain Anjali directed the team
assemble in the ground for practices. Only three girls Priyanshi, Swetha and Aditi showed up. The rest
not come on the pretext of preparing for pre-boardexam. Anjali drew a circle of radius 5 m on the grou
The centre A was the position of Priyanshi. She marked a point N, 13 m away from centre A as her
position. From the point n, she drew two tangential lines NS and NR and gave positions S and
Swetha and Aditi. Anjali throws the ball to Priyanshi, Priyanshi throws it to Swetha, Swetha throws
Anjali
, Anjali throws it to Aditi, Aditi throws it to Priyanshi, Priyanshi throws it to Swetha and so on.
sl-Shweta
15 m
njali
1
1
N
-
A ('Piffanshi
13 m​

Answer 1

Answer:

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Answer 2

Answer :-

→ ∠NSA = 90° {A tangent makes an angle of 90 degrees with the radius of a circle .} (Ans.a)

now,

→ AS² + SN² = AN² {By pythagoras theorem.}

→ 5² + SN² = 13²

→ SN² = 169 - 25

→ SN = √(144)

→ SN = 12 m (Ans.b)

now,

→ NS = NR { Tangents from same external point to the circle are equal.}

→ NR = 12 m (Ans.c)

now,

→ ∠SNR = θ

then,

→ ∠RAS = (180° - θ) (Ans.d)

now,

→ ∠SNR = θ

so,

→ ∠NAS = 90° - (θ/2) (Ans.e)

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