Question

cheyenne and jacob are geocaching. they are currently hiking on a main trail at a bearing of n 45° e. they determine that the cache should be about 1.5 miles off the trail at a bearing of n 17° e. if they want to hike to a point 3 miles further along the main trail once they have located the cache, they will hike an addition geo - caching is a sport that involves hiking and using clues to find hidden \treasures.\ the person who finds the cache is then obliged to leave a treasure for the next person

Explanation:

Step1: Find the angle between the two paths

The angle between the two paths is \(45^{\circ}-17^{\circ} = 28^{\circ}\).

Step2: Apply the Law of Cosines

Let \(a = 1.5\), \(b=3\), and \(C = 28^{\circ}\). The Law of Cosines is \(c^{2}=a^{2}+b^{2}-2ab\cos C\).
Substitute the values:

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Answer:

1.8 miles