
Mariah E.
asked 12/23/20Points A and B are separated by a lake. To find the distance between them, a surveyor locates a point C on land such that ∠CAB = 48.7° (read description)
Points A and B are separated by a lake. To find the distance between them, a surveyor locates a point C on land such that ∠CAB = 48.7°. He also measures CA as 311 ft and CB as 527 ft. Find the distance between A and B. (Round your answer to one decimal place.)
1 Expert Answer

Mark M. answered 12/23/20
Mathematics Teacher - NCLB Highly Qualified
Draw and label a diagram!
Use Law of Cosines
d2 = 3112 + 5272 - (2)(311)(527) cos 48.7°

Anthony T.
If the measured angle is opposite side AB, shouldn't the angle be BCA or ACB instead of CAB?12/24/20
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Mark M.
Is C on the same side as B or somewhere on the shore between A and B?12/23/20