**Problem 5: Vector Navigation** A ship sails from point A to point B, 81 km, bearing S 55° E. It then sails from point B to point C, 74 km, bearing N 35° E. When it reaches point C, how far is the ship from point A? Sketch the situation and write the vectors in component form. \[ \overrightarrow{AB} = \] \[ \overrightarrow{BC} = \] Find \(\overrightarrow{AC} =\) Find \(|\overrightarrow{AC}| =\)

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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a ship sails from point A to point BB , 81km81km , bearing S⋅55S⋅55 degrees EE It then sails from point BB to point CC , 74km74km , bearing N⋅35N⋅35 degrees EE , when it reaches point CC , how far is the ship from point A

**Problem 5: Vector Navigation**

A ship sails from point A to point B, 81 km, bearing S 55° E. It then sails from point B to point C, 74 km, bearing N 35° E. When it reaches point C, how far is the ship from point A? Sketch the situation and write the vectors in component form.

\[ \overrightarrow{AB} = \]

\[ \overrightarrow{BC} = \]

Find \(\overrightarrow{AC} =\)

Find \(|\overrightarrow{AC}| =\)
Transcribed Image Text:**Problem 5: Vector Navigation** A ship sails from point A to point B, 81 km, bearing S 55° E. It then sails from point B to point C, 74 km, bearing N 35° E. When it reaches point C, how far is the ship from point A? Sketch the situation and write the vectors in component form. \[ \overrightarrow{AB} = \] \[ \overrightarrow{BC} = \] Find \(\overrightarrow{AC} =\) Find \(|\overrightarrow{AC}| =\)
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