Question

Lola is in a hot air balloon that has just taken off and is now floating 7 meters above its launching point. Julian is standing on the ground, 6 meters away from the launching point. How far apart are Lola and Julian? If necessary, round to the nearest tenth.

Answer 1

We can use the Pythagorean Theorem to find the distance between Lola and Julian. Let's draw a diagram to visualize the situation.

```
* Lola
|
| *
| 7 m
|
|
|
|
* Julian
6 m
```

The distance between Lola and Julian is the hypotenuse of a right triangle, with one leg being 7 meters (the height of the balloon) and the other leg being 6 meters (the distance between Julian and the launching point).

Using the Pythagorean theorem, we have:

```
distance^2 = 6^2 + 7^2
distance^2 = 36 + 49
distance^2 = 85
distance = sqrt(85)
distance ≈ 9.2 meters
```

Therefore, Lola and Julian are approximately 9.2 meters apart.