A boat travels on a course of bearing N 528 409 E for a distanceof 238 miles. How many miles north and how many miles east has the boattraveled?
A boat travels on a course of bearing N 528 409 E for a distanceof 238 miles. How many miles north and how many miles east has the boattraveled?
Applications and Investigations in Earth Science (9th Edition)
9th Edition
ISBN:9780134746241
Author:Edward J. Tarbuck, Frederick K. Lutgens, Dennis G. Tasa
Publisher:Edward J. Tarbuck, Frederick K. Lutgens, Dennis G. Tasa
Chapter1: The Study Of Minerals
Section: Chapter Questions
Problem 1LR
Related questions
Question
A boat travels on a course of bearing N 528 409 E for a distance
of 238 miles. How many miles north and how many miles east has the boat
traveled?
Expert Solution
Step 1
The horizontal angle between the direction of an object and another object with true north is called bearing.
Step 2
From the given Question,
From the diagram,
x = 238*sin(528°409') = 238*sin(534.8167°) = 238*0.0903 = 21.49 mi
y = 79*cos(528°409') = 238*cos(534.8167°) = 238*0.9959 = 237.02 mi
The boat traveled 21.49 miles east and 237.02 miles north.
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