SOLUTION: a surveyor has measured a distance b=20m between points A and C on a river bank, as shown in the Examination Figure. He wants to determine how far from the point A is a point B on
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Question 1043443: a surveyor has measured a distance b=20m between points A and C on a river bank, as shown in the Examination Figure. He wants to determine how far from the point A is a point B on the other bank of the river. By an instrument called a theodolite, he can measure the angles A and C in the triangle ABC. Of the angle A=25 degrees and the angle C=85 degrees, what is the distance AB?
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===================B
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-25 deg----------------------85 deg
A======================C
Angle B has to be 70 deg.
Use Law of Sines
a/sin A=b/sin B=c/sin C
c/sin 85=20/sin 70
c=20 sin 85/sin 70=21.20 m
