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D Take a Test- Rayan Alatanhan-Google Chrome https://www.mathxl.com/Student/Player Test aspx?testld-14S0632848ucentenwin yes MAT125-014 Quiz: M4D3Q4: Quiz 14 (9.2,9.3) This Question: 1 pt 6 of 6 o complete) v angle a mountain connect points A and Bon two as shown in the ngure The between the roads at point Cis 49 what is the distance trom point A to pointB? What is the distance from pointAto point B? (Do not round until the final answer. Then round to the nearest tenth as needed Enter your answer in answer box the Type here to search

Solution

Apply cosine rule :

c^2 = a^2 +b^2 - 2abcos(theta)

a = 2200 ; b = 3400; theta = 49 deg

x^2 = 2200^2 + 3400^2 -2*2200*3400cos49

= 6585356.926

x = 2566.1950

x = 2566.2 ft