Question

Aaliyah is mountain climbing with Gabrielle and has just climbed a 60-foot vertical rock face. Gabrielle is standing 80 feet away from the bottom of the cliff, looking up at Aaliyah. How far away are Aaliyah and Gabrielle?

Answer 1

Aaliyah and Gabrielle are 100 feet away from each other.

Step-by-step explanation:

To find the distance between Aaliyah and Gabrielle, we can use the Pythagorean theorem. Let's call the distance between Aaliyah and Gabrielle 'x'. We know that Aaliyah climbed a 60-foot vertical rock face and Gabrielle is standing 80 feet away from the bottom of the cliff. So, we have a right triangle with one leg measuring 60 feet and the other leg measuring 80 feet.

Using the Pythagorean theorem, we can calculate the hypotenuse:

x² = 60² + 80²

x² = 3600 + 6400

x² = 10000

x = √10000

x = 100 feet

So, Aaliyah and Gabrielle are 100 feet away from each other.