A boat is heading towards a lighthouse, where Natalie is watching from a vertical distance of 140 feet above the water. Natalie measures an angle of depression to the boat at point AA to be 12∘∘. At some later time, Natalie takes another measurement and finds the angle of depression to the boat (now at point BB) to be 27∘∘. Find the distance from point AAto point BB. Round your answer to the nearest foot if necessary

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.2: The Law Of Cosines
Problem 3E
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A boat is heading towards a lighthouse, where Natalie is watching from a vertical distance of 140 feet above the water. Natalie measures an angle of depression to the boat at point AA to be 12∘∘. At some later time, Natalie takes another measurement and finds the angle of depression to the boat (now at point BB) to be 27∘∘. Find the distance from point AAto point BB. Round your answer to the nearest foot if necessary

 

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