Sonya and Isaac are in motorboats located at the center of a lake. At time t = 0, Sonya begins traveling south at a speed of 32 mph. At the same time Isaac takes off, heading east at 27 mph. How far have they traveled after 12 minutes?
They have travelled
and are then
First find the distance travelled Sonya in
Then find the distance travelled by Isaac in
To find the distance between Sonya and Isaac, we can apply the Pythagorean theorem as the angle between them is
Distance between them:
The speeds are given in mph so the time needs to be in hours.
Take note of the units: