Math, asked by sunamiagarwal, 5 months ago

please solve the question.... don't SPAM​

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Answers

Answered by ashim8
2

Refer to the attachment for the figure.

Solution :

Assumptions-

A = man on Tower top

AB = height of Tower

E = car's first position

D = car's second position

Time taken to cover CD = 6 sec

To find - Time for crossing BC.

Speed is uniform, let's assume it x km/hr.

distance

speed = -------------

Time

=> d = speed × t

 =  > ED= x \times 6 = 6x \\ bd = x \times t \\  \\ in \: ABC \\  \tan(60)  =  \frac{AB}{BD}  \\  =  >  \sqrt{3}  =  \frac{h}{xt}  \\  =  > h =  \sqrt{3} xt \\  \\ similarly \: in \: ABD \\  \tan(30)  =  \frac{AB}{ED + BD}  \\  =  >  \frac{1}{ \sqrt{3} }  =  \frac{ \sqrt{3} xt}{6x + xt}  \\  =  > 6x + xt =  \sqrt{3} ( \sqrt{3} xt) \\  =  > 6x + xt = 3xt \\  =  > 3xt - 2xt = 6x \\  =  >  \frac{2xt}{x}  = 6 \\  =  > 2t = 6 \\  =  > t =  \frac{6}{2}  = 3

Thus, time taken by the car to reach the foot of the Tower is 3 seconds.

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Answered by mbakshi37
2

Answer:

3 seconds

lets:

Speed is V

Time taken from 60 deg to 90 degree is T

Tower hieght is H

Cot30 - Cot 60 = V(t+6)/H - Vt/H= 6V/H

V/H = (root 3)/9

t= cot 60 / ( V/H) = 3 Second

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