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 si

Question

Ilia_Sergeevich [38]

2 years ago

15

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 si

ght between the posts is 37, how wide is the canal?

Mathematics

1 answer:

AveGali [126] · Answer 1 · 2022-11-18T00:35:13+03:00

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.