# 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?

##### 2 Answers

#### Answer:

They have travelled

and are then

#### Explanation:

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:

#### Answer:

Sonya:

Isaac:

#### Explanation:

The speeds are given in mph so the time needs to be in hours.

**Sonya: **

**Isaac:**

Take note of the units: