Answer:
AB = 178 meters.
Step-by-step explanation:
See the attached diagram.
The surveyor needs to measure the distance AB across the lake.
Now, beginning at E, he locates the midpoint C of AE and the midpoint D of BE.
Now,measurement CD = 89 meters.
Now, in triangle Δ EAB, CD is the line connecting midpoints of the sides EA and EB, hence CD will be parallel to AB and 2CD = AB ...... (1)
Now, AB = 2 × 89 = 178 meters. (Answer)
