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Trigonometry a cruise ship travels 300 miles due east before turning 30 degrees north of east. It travels 175 miles along its new course. How far is the cruise ship from its initial position?

Caroline Campbell

in Mathematics

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Bethany Evans on July 3, 2018

In order to really understand what is going on here, you need some way of display it. I suggest drawing a pair of axes to understand what is going on.From the cruise ship travels 300 miles to the east, this only means that the ship traveled 300 miles to the east. I recommend draw a vertical line where it stops because we can more accurately understand what is going on. I've drawn the diagram that I think better represents this.Now, based on the diagram, we want to find h, because the distance of our initial location to our final location.Since 30 degrees is the exterior angle, its supplement is 150 degrees.Therefore, now we can find h using the cosine rule. miles.Therefore, the boat cruise is approximately 459.995 miles from its initial position.


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