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jackchelly
17.06.2021 •
Mathematics
Ayudenme haciendo 1+1
cuanto es?
Solved
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Ответ:
The surveyor is 36.076 kilometers far from her camp and her bearing is 16.840° (standard form).
Step-by-step explanation:
The final position of the surveyor is represented by the following vectorial sum:
And this formula is expanded by definition of vectors in rectangular and polar form:
Where:
If we know that
,
,
and
, then the resulting coordinates of the final position of the surveyor is:
According to this, the resulting vector is locating in the first quadrant. The bearing of the vector is determined by the following definition:
And the distance from the camp is calculated by the Pythagorean Theorem:
The surveyor is 36.076 kilometers far from her camp and her bearing is 16.840° (standard form).