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To find the distance across a river, a surveyor chooses points A and B, which are...

To find the distance across a river, a surveyor chooses points A and B, which are x = 500 ft apart on one side of the river (see the figure). She then chooses a reference point C on the opposite side of the river and finds that ∠BAC ≈ 82° and ∠ABC ≈ 52°. Approximate the distance from A to C. (Round your answer to the nearest foot.)

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Answer #1

we would see that ∠ACB = (180 - 82 - 52) =46º

using sine rule,

500/sin46 = AC/sin52

AC= 500 *sin52/sin46

AC=548 feet

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