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Answer to Question #77689 in Trigonometry for Sarai

Question #77689
As seen from a point P, one end A of an island is 4 miles away and the other end B is 1 mile away. The island subtends at P and angle of 110°. Find the length of the island.
1
Expert's answer
2018-05-31T10:53:08-0400
The question asks us to find the length of AB.
AB² = BP² + AP² - 2 BP*AP*cosBPA.
Thus, AB² = 1 + 16 – 8cos110°
Using calculator, AB = √(17-8cos110°)= 4,443 miles.

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