00:01
So in the given question we are told that a point on an island is located 20 miles southwest of a dock.
00:09
And a ship leaves this dog at 1 p .m.
00:16
That is in the afternoon and it travels west at 14 miles per hour.
00:23
So let's just illustrate this.
00:28
So point on an island is located to be located.
00:30
20 miles south west of a dock right so the ship is leaving this dock at 1 p .m.
00:40
So let's say there is the directions over here are north south east and west and we are told a ship is leaving this dock at 1pm and it is travelling west at 14 miles per hour.
01:04
So there is a ship it is travelling towards the west at 14 miles per hour at 14 miles per hour and we are told at what time to the nearest minute is the ship 16 miles from the point.
01:26
So the point is said to be located on an island and it is 20 miles south -west of the dock right so if this is the dock then southwest let's say this is the dock right southwest is in is in this direction right so the point is somewhere over here this is the point and this is 20 miles the point is 20 miles the point is 20 miles southwest of a dock.
02:06
So this is the dock.
02:08
This is the direction of south -west.
02:11
So the point is 20 miles south -west of the dock.
02:16
Now the ship is leaving the dock at 1pm and it is travelling at 14 miles per hour and we are told at what time is the ship 16 miles away from this point.
02:33
So, at what time is the ship 16 miles away from this point? that is, if the ship is over here, this distance should be 16 miles, right? so this is what we are given, right? so we know that each of these angles are 90 degrees and southwest is exactly 45 degrees from best so we can write this angle over here as 45 and we are told that this distance to this point should be 16 miles right so now what we have is we have a triangle let's draw a triangle and in this triangle we are told we are told that we are told that here it is the dock this angle is 45 degrees this is the point at which the ship is now when it is 16 miles away from the point the point is 20 miles away from the dock right and now first what we can do is we can we can we can find the distance between the ship and the dock when the distance between the ship and the point is 16 miles right so what we can do over here is to take the low of signs the low of signs by which we can write if we have a triangle in which we have the angles a b and c and the length of the sides as a, b and c as given in the figure, then we can write a divided by sign of angle a is equal to b divided by sign of angle b and it is equal to c divided by sign of angle c...