The world of mathematics
When we travel through unknown places, we use various instruments to help us know where we are and where we are heading.
The maps provide us with a set of routes and signs.
Even without a map, a compass can help us move in the right direction.
But on a map or geographical map, a set of fixed points is needed that serve as a reference.
The compass only provides us with the direction. Without signs, how can we be sure of our location?
The map is a good example of how to navigate the world of mathematics.
Robin Hawkins and his son Matthew like to go out on Saturdays to go for a boat ride.
Today, their trip will end before it is expected.
Rescue
The boat ride begins with a lot of peace and quiet.
They wish to cross the English Channel to move from Poole Harbor in England to La Havre in France.
Apparently, they will have to follow a straight path. However, when they lose sight of the coast, they will no longer have signs to guide them.
Navigation in the sea. How can they find their way? What method could they use?
Some boats use satellites to determine their position, but Robin uses an instrument that navigators have used for centuries, the compass.
Regardless of where you are, the compass always points north, so you can go in the right direction.
The magnetic force that the compass needle attracts is the force that the compass is able to move.
In the sea map, it is marked with a point and called magnetic north. Before leaving, Robin needs to know which direction to take.
Well Matthew, today we are going to plan the course that we will continue to go from Poole Harbor to El Harve.
We will draw a line that goes from the entrance of Poole Harbor to the entrance of El Harve.
And from this, we will be able to know what our magnetic course will be.
Placing a compass on the map is easier to find a path.
Drawing a line through the magnetic compass on the map will allow you to see the course.
Drawing a line through the magnetic compass on the sea map, we can see that our course will be of 138 degrees.
All you have to do is draw a line parallel to your route through the compass.
Once the course is calculated, Robin can go to France.
138 degrees are approximately half between the south and the east.
Going south corresponds to 180 degrees.
Going west 270 degrees and a complete turn corresponds to 360 degrees and returns us to the north.
So it is commonly said that the north is at 0 degrees.
So Robin must orient his route to 138 magnetic degrees.
The position of the compass needle from the magnetic north is what we will call magnetic degrees.
But then something unexpected happens.
Yes, I'll go prepare it.
I thank you.
Tampan, tampan, tampan, all stations, all stations, all stations, here you are, here you are, here you are.
Leanda, I have a member of the crew with a burned arm and it requires immediate evacuation.
Tampan, Leanda, here Solent, Guarda Costa, please indicate your position, out.
I left the pool at 11 in the morning at a speed of 15 knots in a course of 138 magnetic degrees.
At the Guarda Costa station, Robin's emergency call was received.
Using his copy of the maritime cards and knowing the starting point, the course that Leanda follows is determined.
But more information is needed. They need to know how far Robin is.
Confirm if it's 15 knots, Mike.
Confirmed, 15 knots.
Knowing the total distance from the starting point to the arrival point, the speed of the boat and the travel time, the Guarda Costa can determine the distance and position to which the boat is located.
But the people who will go to the rescue will not leave the same place where Robin left, so they need to know the position of the boat in terms of latitude and longitude.
Again, with an adequate division, we can determine that its position is 50 degrees and 18 minutes west.
25 miles south of the island of White. We can bring the helicopter of Lee and Solent to do the rescue at a faster pace.
SA Alt-Right, this is Guarda Costa Solent. We have an emergency in America, 180 degrees, from the island of White.
The helicopter crew still needs to know the exact course.
The description is, Lee and Solent motor boat, 33 feet, with white perforations and white cameras. There we go!
This time the route is from the helicopter base on the island of White to the position of the boat.
But while all this is happening, the boat is moving.
A mobile objective. How can the rescue helicopter head to the precise point and thus be able to reach Robin's boat?
Ignoring the effects of the wind and considering the straight trajectory at a speed of 15 knots of the boat and the speed of 90 knots also in the straight line of the helicopter, then it is possible to calculate the point where both will be found.
The course that the helicopter must stop to intercept Robin and Matthew's boat is 192 degrees magnetic.
But the existence of a margin of error is possible, so if the boat is not where it is expected, then the helicopter will have to start a search pattern.