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Suppose you are heading due east and then find out you have been off-course the whole time by 1.5° to the south. You have traveled 8 miles. (Assume that due east is the positive x-axis direction and due north is the positive y- axis direction.) Find your current position resolved in terms of the components and .

Suppose you are heading due east and then find out you have been off-course the whole time by 1.5° to the south. You have traveled 8 miles. (Assume that due east is the positive x-axis direction and due north is the positive y- axis direction.) Find your current position resolved in terms of the components and .

Trigonometry (11th Edition)
Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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**Title: Calculating Position in a Coordinate System** **Scenario:** Suppose you are heading due east and then find out you have been off-course the whole time by \( 1.5^\circ \) to the south. You have traveled 8 miles. *(Assume that due east is the positive x-axis direction and due north is the positive y-axis direction.)* **Task:** Find your current position resolved in terms of the components \( \hat{i} \) and \( \hat{j} \). **Instructions:** - Answer to 3 decimal places, and *include a negative sign if applicable!* **Solution:** - **\( \hat{i} \) Component:** 7.997 - **\( \hat{j} \) Component:** -0.209
Transcribed Image Text:**Title: Calculating Position in a Coordinate System** **Scenario:** Suppose you are heading due east and then find out you have been off-course the whole time by \( 1.5^\circ \) to the south. You have traveled 8 miles. *(Assume that due east is the positive x-axis direction and due north is the positive y-axis direction.)* **Task:** Find your current position resolved in terms of the components \( \hat{i} \) and \( \hat{j} \). **Instructions:** - Answer to 3 decimal places, and *include a negative sign if applicable!* **Solution:** - **\( \hat{i} \) Component:** 7.997 - **\( \hat{j} \) Component:** -0.209
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