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(a) Using the positive imaginary axis as north and the positive real axis as east, write complex numbers that represent the positions of Ship A and Ship B relative to por Ship A Ship B (b) How can you use the complex numbers in part (a) to find the distance between Ship A and Ship B? O Find the modulus of the difference of the two complex numbers, which gives a distance of 7.28 miles. O Find the modulus of the difference of the two complex numbers, which gives a distance of 8.06 miles.

(a) Using the positive imaginary axis as north and the positive real axis as east, write complex numbers that represent the positions of Ship A and Ship B relative to por Ship A Ship B (b) How can you use the complex numbers in part (a) to find the distance between Ship A and Ship B? O Find the modulus of the difference of the two complex numbers, which gives a distance of 7.28 miles. O Find the modulus of the difference of the two complex numbers, which gives a distance of 8.06 miles.

Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Complex Numbers
Section4.3: The Complex Plane
Problem 49E
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Ship A is 3 miles east and 5 miles north of port. Ship B is 4 miles west and 3 miles north of port (see figure). North 10 8 6 Ship A Ship B 4 2 Port - East 8 -8 -6 -4 -2 4 6 -2- -4 – 6 (a) Using the positive imaginary axis as north and the positive real axis as east, write complex numbers that represent the positions of Ship A and Ship B relative to port. Ship A Ship B (b) How can you use the complex numbers in part (a) to find the distance between Ship A and Ship B? O Find the modulus of the difference of the two complex numbers, which gives a distance of 7.28 miles. O Find the modulus of the difference of the two complex numbers, which gives a distance of 8.06 miles. O Find the modulus of the sum of the two complex numbers, which gives a distance of 7.28 miles. O Find the modulus of the sum of the two complex numbers, which gives a distance of 8.06 miles.
Transcribed Image Text:Ship A is 3 miles east and 5 miles north of port. Ship B is 4 miles west and 3 miles north of port (see figure). North 10 8 6 Ship A Ship B 4 2 Port - East 8 -8 -6 -4 -2 4 6 -2- -4 – 6 (a) Using the positive imaginary axis as north and the positive real axis as east, write complex numbers that represent the positions of Ship A and Ship B relative to port. Ship A Ship B (b) How can you use the complex numbers in part (a) to find the distance between Ship A and Ship B? O Find the modulus of the difference of the two complex numbers, which gives a distance of 7.28 miles. O Find the modulus of the difference of the two complex numbers, which gives a distance of 8.06 miles. O Find the modulus of the sum of the two complex numbers, which gives a distance of 7.28 miles. O Find the modulus of the sum of the two complex numbers, which gives a distance of 8.06 miles.
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