SOLUTION: To find the distance across a river, a surveyor chooses points A and B, which are x = 100 ft apart on one side of the river (see the figure). She then chooses a reference point C o
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Question 1171685: To find the distance across a river, a surveyor chooses points A and B, which are x = 100 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.)
You can put this solution on YOUR website! To find the distance across a river, a surveyor chooses points A and B, which are x = 100 ft apart on one side of the river (see the figure).
He 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.)
:
Find angle C: 180 - 82 - 52 = 46 degrees
Distance across the river = b
Use the law of sines =
cross multiply
sin(46)*b = sin(52)*100
b =
b = 109.5 ~ 110 ft from A to C
