Required information Jerry bicycles from his dorm to the local fitness center: 3.50 mi east and 1.80 mi north. Cindy's apartment is located 1.50 mi west of Jerry's dorm. Cindy is able to meet Jerry at the fitness center by bicycling in a straight line. What is the direction she must travel? Enter the angle in degrees where positive indicates north of east and negative indicates soutl west.

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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**Required Information**

Jerry bicycles from his dorm to the local fitness center: 3.50 mi east and 1.80 mi north. Cindy's apartment is located 1.50 mi west of Jerry’s dorm. Cindy is able to meet Jerry at the fitness center by bicycling in a straight line.

**Question**

What is the direction she must travel? Enter the angle in degrees where positive indicates north of east and negative indicates south of west. 

[Answer Box]

---

**Explanation**

To find the direction Cindy must travel, you need to calculate the angle of the straight line from her apartment to the fitness center relative to the east-west axis:

1. Determine the total east-west distance Cindy needs to travel.
2. Determine the total north-south distance Cindy needs to travel.
3. Use trigonometry to calculate the angle of Cindy’s path.

Positive angle: north of east

Negative angle: south of west
Transcribed Image Text:**Required Information** Jerry bicycles from his dorm to the local fitness center: 3.50 mi east and 1.80 mi north. Cindy's apartment is located 1.50 mi west of Jerry’s dorm. Cindy is able to meet Jerry at the fitness center by bicycling in a straight line. **Question** What is the direction she must travel? Enter the angle in degrees where positive indicates north of east and negative indicates south of west. [Answer Box] --- **Explanation** To find the direction Cindy must travel, you need to calculate the angle of the straight line from her apartment to the fitness center relative to the east-west axis: 1. Determine the total east-west distance Cindy needs to travel. 2. Determine the total north-south distance Cindy needs to travel. 3. Use trigonometry to calculate the angle of Cindy’s path. Positive angle: north of east Negative angle: south of west
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