## Question

**Use the law of cosines**

6. Two flying drones leave an airport at the same time. The heading of the

first is 120° and the heading of the second 320. If the drones are traveling

at 80 and 50 mph respectively, how far apart will they be after 1 hour?

## Answer (Expert Verified)

The **flying drones **are illustrations of the **laws of cosines**

Both **flying drones **would be 128.13 meters **apart **after 1 hour

### How to determine the distance between them

For **drone A**, we have:

- Angle =120 degrees
- Speed = 80 mph

So, the **distance **after one hour is:

Distance = 80 m

The **distance **is calculated using:

Distance = Speed * Time

For **drone B**, we have:

- Angle = 320 degrees
- Speed = 50 mph

So, the **distance **after one hour is:

Distance = 50 m

The **angle **between them is calculated as:

This gives

Using the **laws of cosine**, the **distance (d) **between them after **1 hour **is:

So, we have:

Evaluate the expression

Hence, both **drones** would be 128.13 meters **apart **after 1 hour