Zachary and Erin went to a climbing centre.
Zachary climbed 6/7 of the way up an 11.1m high wall. Erin climbed 4/9 of the way up a 19.7m high wall.
What is the difference between the heights that Zachary and Erin climbed?
Give your answer to 2 decimal places.
Zachary climbed: 6/7 * 11.1m = 9.51m
Erin climbed: 4/9 * 19.7m = 8.76m
The difference between their heights climbed is:
9.51m - 8.76m = 0.75m
Therefore, the difference between the heights that Zachary and Erin climbed is 0.75m.
To find the difference between the heights that Zachary and Erin climbed, we need to calculate the height each of them reached.
Zachary climbed 6/7 of the way up an 11.1m high wall:
Height Zachary climbed = (6/7) * 11.1m
Erin climbed 4/9 of the way up a 19.7m high wall:
Height Erin climbed = (4/9) * 19.7m
Now we can calculate the heights:
Height Zachary climbed = (6/7) * 11.1 = (66/7) m = 9.43 m
Height Erin climbed = (4/9) * 19.7 = (78.6/9) m = 8.73 m
To find the difference, we subtract the height Erin climbed from the height Zachary climbed:
Difference = Zachary's height climbed - Erin's height climbed
Difference = 9.43 m - 8.73 m = 0.70 m
Therefore, the difference between the heights that Zachary and Erin climbed is 0.70 meters.