# Algebra

posted by
**Katy**
.

First year students attending Hogwarts ride in boats from the train station (point H) to the castle (point C). The most direct route is 760 meters and the boats travel at 100 m/min. Unfortunately, one boat got off course by 17° and traveled on this path for 5 min. until Hagrid shouted at them to change course. a. Through what angle (round to the tenths) should the students turn in order to head directly to the castle? b. How long (to the nearest tenth of a minute) will it be before they reach the castle?

Through what angle should the students turn in order to head directly to the castle?

How long (to the nearest tenth of a minute) will it be before they reach the castle?