Question

To approximate the length of a marsh, a surveyor walks 410 meters from point A to point
B. Then the surveyor turns 62◦
and walks 340
meters to point C.
Approximate the length AC of the marsh.
Answer in units of meters

Answer 1

By cosine rule,
\[AC^2 = 410^2 + 340^2 - 2(410)(340)(\cos62˚)\]

Answer 2

Key into the scientific or graphic calculator that whole long chunk of numbers, and then square root the answer.