Homework Help is Here – Start Your Trial Now!
Math
Calculus
Coby and Christina are sailing a boat and get caught in rough weather. They begin sailing at a speed of 7 miles per hour at an angle of 45 degrees. At that moment, the current and the wind both begin to push the sailboat. The current has a speed of 5.6 miles per hour at an angle of 240 degrees. The wind as a vector could be written as -35i+65j in miles per hour. What direction do they end up sailing in? Write your answer in degrees and round to 2 decimal places. Leave your answer in exact form until the final step.

Coby and Christina are sailing a boat and get caught in rough weather. They begin sailing at a speed of 7 miles per hour at an angle of 45 degrees. At that moment, the current and the wind both begin to push the sailboat. The current has a speed of 5.6 miles per hour at an angle of 240 degrees. The wind as a vector could be written as -35i+65j in miles per hour. What direction do they end up sailing in? Write your answer in degrees and round to 2 decimal places. Leave your answer in exact form until the final step.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.3: Vectors
Problem 45E
See similar textbooks
icon
Related questions
Question
**Sailing in Rough Weather – Vector Problems** **Scenario:** Coby and Christina are sailing a boat and find themselves in rough weather. They initially set sail at a speed of 7 miles per hour at an angle of 45 degrees. Suddenly, both the current and the wind begin to affect the boat's movement. - The current flows with a speed of 5.6 miles per hour at an angle of 240 degrees. - The wind can be represented as a vector in the form of \(-35i + 65j\) in miles per hour. **Problem:** **What direction do they ultimately end up sailing in?** Write your answer in degrees and round it to two decimal places. Ensure the final answer is in its exact form until the very last step. **Note:** Direction for all angles in this problem should be measured from the positive x-axis in a counterclockwise direction.
Transcribed Image Text:**Sailing in Rough Weather – Vector Problems** **Scenario:** Coby and Christina are sailing a boat and find themselves in rough weather. They initially set sail at a speed of 7 miles per hour at an angle of 45 degrees. Suddenly, both the current and the wind begin to affect the boat's movement. - The current flows with a speed of 5.6 miles per hour at an angle of 240 degrees. - The wind can be represented as a vector in the form of \(-35i + 65j\) in miles per hour. **Problem:** **What direction do they ultimately end up sailing in?** Write your answer in degrees and round it to two decimal places. Ensure the final answer is in its exact form until the very last step. **Note:** Direction for all angles in this problem should be measured from the positive x-axis in a counterclockwise direction.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Vector Addition and Scalar Multiplication
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
SEE MORE TEXTBOOKS