SOLUTION: To find the distance between two points A and B on opposite sides of a river, a surveyor measures out a base liner AC that is 25 m long. He then measures angle A = 82 degrees and a
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Question 1129291: To find the distance between two points A and B on opposite sides of a river, a surveyor measures out a base liner AC that is 25 m long. He then measures angle A = 82 degrees and angle C = 69 degrees. Calculate the distance AB
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
To find the distance between two points A and B on opposite sides of a river,
a surveyor measures out a base liner AC that is 25 m long.
He then measures angle A = 82 degrees and angle C = 69 degrees.
Calculate the distance AB
:
find the 3rd angle B
180 - 82 - 69 = 29 degrees
let d = AB, the distance across the river
Use the law of signs to find d
=
sin(29)*d = sin(69)*25
.4048d = 23.34
d =
d = 48.14 m distance AB
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