00:01
In this question we have been given a swimming pool in the shape of a circle.
00:06
It is also given that it has the radii equals to 9 meter.
00:12
Now it is given that debra stands 16 meter west and 5 meter south of the center of the pool.
00:21
So this will be our 5 meter.
00:24
This is our 16 meter.
00:26
And then she travels in a straight line towards the northmost point of the pool so this is the northmost point let's call this point as n see she is traveling in this direction with the velocity given as 2 meter per second when she reaches this point she exits the pool we have to find out how much time debra spent swimming the pool in the pool that we have to find out so what we can do now let's label the points here this is point a b p call it as c then we have point o this is incorrect we can complete this triangle here for calculation part now what we have been given since and let's call this as w in triangle abp and the triangle onp we can see that they are are similar triangle because this angle a and angle o both are 90 degrees also this angle and this angle they both are equal because vertically opposite so they are similar.
02:08
This will implies that 5 over 9 equals to ap over op which implies that 9 times of ap is equals to 5 times of op since oa is already given as 16 meter and oa is nothing but op plus ap equals to 16 and ap if we see is 5 over 9 times of op so so op plus 5 over 9 times of op equals to 16.
02:46
This implies op is 72 over 7 meter.
02:52
Further we get ap as 5 over 9 times of op 72 over 7 which comes out to be 40 over 7 meter.
03:07
Correct.
03:08
Now if we see what is this angle onp.
03:13
We are now finding this angle.
03:15
So in triangle onp if we see what is tan of x that is perpendicular over the base.
03:25
Perpendicular is op...