Asked by Anonymous
                 To find the distance from the house at A to the house at B, a surveyor measures the angle ACB, which is found to be 70°, and then walks off the distance to each house, 50 feet and 70 feet, respectively. How far apart are the houses?
feet
            
            
        feet
Answers
                    Answered by
            helper
            
    Triangle ACB, C = 70 deg, a = 70, b = 50
find side c
Use Law of Cosines--Case III
(Given two sides and the included angle)
c^2 = a^2 + b^2 - 2ab cos C
c^2 = 70^2 + 50^2 - 2(70)(50) cos 70
Solve for c
    
find side c
Use Law of Cosines--Case III
(Given two sides and the included angle)
c^2 = a^2 + b^2 - 2ab cos C
c^2 = 70^2 + 50^2 - 2(70)(50) cos 70
Solve for c
                    Answered by
            Anonymous
            
    2966.76
    
                    Answered by
            a
            
    x^2 = 7400-((7000*(cos(70)) = 5005.858997
square root of 5005.858997 =
70.75209535 ft
    
square root of 5005.858997 =
70.75209535 ft
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