Tess was flying from Toronto to
Hamilton at night. She noticed that her
heading indicator was malfunctioning
and decided to check her position.
She called Hamilton Tower and
St. Catharines Radio, knowing that the
stations were 50 km apart. Hamilton
reported that the position of her plane
formed an angle of 65° with the line
joining the two stations. St. Catharines
reported that her position made an angle
of 48°. How far was the plane from
Hamilton, to the nearest kilometre?