Two tugboats that are a = 120 ft apart pull a barge, as shown. If the length of one cable is b = 204 ft and the length of the other is c = 235 ft, find the angle formed by the two cables. (Round your answer to the nearestdegree.)

Answered: find the angle formed by the two…

Elementary Geometry for College Students

6th Edition

ISBN:9781285195698

Author:Daniel C. Alexander, Geralyn M. Koeberlein

Publisher:Daniel C. Alexander, Geralyn M. Koeberlein

Chapter2: Parallel Lines

Section2.CT: Test

Problem 7CT

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Two tugboats that are a = 120 ft apart pull a barge, as shown. If the length of one cable is b = 204 ft and the length of the other is c = 235 ft, find the angle formed by the two cables. (Round your answer to the nearest
degree.)

Expert Solution

Step 1

$G i v e n l e n g t h s - a = 120 f e e t b = 204 f e e t c = 235 f e e t L e t t h e a n g l e b e t w e e n t h e t w o c a b l e s b e θ . T h e n t h e f o r m u l a u s e d f o r c a l c u l a t i n g t h e a n g l e b e t w e e n t w o l i n e s i n a t r i a n g l e - \cos θ = \frac{b^{2} + c^{2} - a^{2}}{2 b c}$

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