Question
Asked Oct 5, 2019
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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 312 ft and CB as 527 ft. Find the distance between A and B. (Round your answer to one decimal place.

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Expert Answer

Step 1

The diagrammatic representation of the given problem is,

 

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A C b CO

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Step 2

Given,

 

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ZA = 48.7, CA = b = 312 ft and CB = a = 527 ft

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Step 3

Now by using sine r...

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sin A sin B sin C b а Consider sin A_ sin B sin(48.7')_sin B 527 312 sin B- 0.751264 x 312 527 sin B 0.444771 B sin (0.444771) B 26.40

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