8155 Question Help To find the distance AB across a river a

8.1.55 Question Help | To find the distance AB across a river, a surveyor laid off a distance BC= 353 m on one side of the river. It is found that B = 11520, and C-16\"20\' Find AB 353 m 1520 1620 The distance AB across the river is Jn (Simplify your answer. Do not round until the final answer. Then round to the nearest whole number as needed.)

Solution

finding the 3rd angle A

A = 180 - ( 115 .20\' + 16.20\' )

A = 48.3334 degrees

applying law of sines to find AB

ab / sin 16.3333 = 353 / sin 48.3334

ab = 133 m

the distance AB across the river is 133 m

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