HELP PLEASE! The distances from a ship to two lighthouses on the shore are 4 miles and 7 miles respectively. If the angle between the two lines of sight to the lighthouses is 48 degrees. Find the distance between lighthouses?

Mathematics · College · Tue Nov 03 2020

Answered on

Using law of cosine :

c² = a² + b² - 2abCosc

c² = 7² + 4² - 2(7)(4)Cos48°

c² = 49 + 16 - 56(0.66)

c² = 27.52

c = 5.25 miles 

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