Concept explainers
The submarine is closer to carrier or battleship is to be stated.
Answer to Problem 10.7MPS
The submarine is at equal distance from the carrier as well as from the battleship.
Explanation of Solution
Given:
Submarine has vertices
Carrier ship has vertices
Battleship has vertices
Concept Used:
The distance between two points is given by formula,
where,
Distance
& are te coordinates of first vertex
are te coordinates of second vertex
Calculation:
To determine whether the submarine is closer to carrier or battleship, the distance between submarine and carrier that is and distance between submarine and battleship that is is to be calculated.
Initially the distance between submarine and carrier is to be calculated.
can be calculated by formula,
where,
Subsitituting the values in above formula,
The distance between submarine and carrier is
Now,the distance between submarine and batteship is calculated.
can be calculated by formula,
where,
Subsitituting the values in above formula,
The distance between submarine and batteship is
Conclusion:
Hence , the submarine is at equal distance from the carrier as well as from the battleship as the distance from submarine to carrier and battleship is the same.
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