Mathematics 10 — Exercise 7.4 · Q5

Full question

Ships have LM=12 km, LN=14 km, MN=15 km. The diagram marks LM due west from M, and NM bearing 060°. Find L’s bearing from M; note the conflicting data.

LMNNorth12 km14 km15 km060°

Step-by-step solution

  1. The diagram marks LM perpendicular to the north line at M and pointing west.

  2. From north, clockwise turns to west pass east and south: 90°+90°+90°=270°.

  3. Thus the bearing shown by the marked direction is 270°. The printed lengths 12,14,15 km and 060° direction are inconsistent with that right-angle mark; using those lengths instead gives about 301.3° for the northwest branch.

Answer

The final answer is shown below.

270° from marked west direction