Question

Question on the paper

Answer 1

AB = 178 meters.

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)