An airplane is heading north at an airspeed of 800 km/hr, but there is a wind blowing from the southwestat 60 km/hr.The plane will end up flyingdegrees off courseThe plane's speed relative to the ground will bekm/hrRound your answer to at least one decimal place if needed.

Answered: The plane will end up flying degrees…

Mathematics For Machine Technology

8th Edition

ISBN:9781337798310

Author:Peterson, John.

Publisher:Peterson, John.

Chapter24: Percent Practical Applications

Section: Chapter Questions

Problem 35A

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An airplane is heading north at an airspeed of 800 km/hr, but there is a wind blowing from the southwest
at 60 km/hr.
The plane will end up flying
degrees off course
The plane's speed relative to the ground will be
km/hr
Round your answer to at least one decimal place if needed.

Expert Solution

Step 1

Draw a diagram as shown below.

The resultant AB will be:

$\begin{matrix} A B = \sqrt{{(O A)}^{2} + {(O B)}^{2} - 2 (O A) (O B) \cos 45 °} \\ = \sqrt{{(800)}^{2} + {(60)}^{2} - 2 (800) (60) (\frac{1}{\sqrt{2}})} \\ \approx 758.76 \end{matrix}$

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