A pilot flies in a straight path for 1 h 30 min. She then makes a course correction, heading 10 degrees to the right of her original course, and flies 2 h in the new direction. If she maintains a constant speed of 670 mi/h, how far is she from her starting position? Your answer is mi: Enter your answer rounded to two decimal places.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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A pilot flies in a straight path for 1 h 30 min. She then makes a course correction, heading 10
degrees to the right of her original course, and flies 2 h in the new direction. If she maintains a
constant speed of 670 mi/h, how far is she from her starting position?
Your answer is
mi;
Enter your answer rounded to two decimal places.
Transcribed Image Text:A pilot flies in a straight path for 1 h 30 min. She then makes a course correction, heading 10 degrees to the right of her original course, and flies 2 h in the new direction. If she maintains a constant speed of 670 mi/h, how far is she from her starting position? Your answer is mi; Enter your answer rounded to two decimal places.
Expert Solution
Step 1

For any triangle: ABC, using the cosine rule, it can be written that: BC=AC2+AB2-2AC×AB×cosA.

The distance travelled is calculated by multiplying the speed by time.

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