Q20. Ramesh wants to participate in the 200m sprint. He can currently run that distance in 45 seconds, but he wants to do it in below 30 seconds. With
each day of practice it takes him 2 second less. Respond to the above
situation by answering the questions given below.

1. Which of the following forms an A. P. for the above given situation?

a.45,90,180 b.45,47,49 C. 45,43,41d.-45,47,48
2. What is the minimum number of days he needs to practice till his goal
accomplished.

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step-by-step explanation:

option a, c,d are correct.

step-by-step explanation:

from the given figure, it is given that z is equidistant from the sides of the triangle rst, then from triangle tzb and triangle szb, we have

tz=sz(given)

bz=zb(common)

therefore, by rhs rule,δtzb ≅δszb

by cpctc, sz≅tz

also, from δctz and δasz,

tz=sz(given)

∠tcz=∠saz(90°)

by rhs rule, δctz ≅ δasz, therefore by cpctc, ∠ctz≅∠asz

also,from δasz and δzsb,

zs=sz(common)

∠zbs=∠saz=90°

by rhs rule, δasz ≅δzsb, therefore, by cpctc, ∠asz≅∠zsb

hence, option a, c,d are correct.