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A surveyor standing at A notices two posts B and C on the opposite side of a canal. The posts are 120m apart. If the angle of sight between the posts is 37, how wide is the canal?

Sagot :

Unfortunately there isn't enough information.

Check out the diagram below. We have segment BC equal to 120 meters long. Points B, C, D and E are all on the edge of the same circle. According to the inscribed angle theorem, angles BDC and BEC are congruent. This shows that the surveyor could be at points D or E, or the surveyor could be anywhere on the circle. There are infinitely many locations for the surveyor to be at, which leads to infinitely many possible widths of this canal.

View image jimthompson5910
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