Final answer:
To find the height of the mountain, use the given information of Steph's position as a percentage of the total height and set up an equation.
Step-by-step explanation:
To find the height of the mountain, we can use Steph's position as a percentage of the total height. If she is 80% of the way up and has hiked 456.7 meters, we can set up the equation: 0.8x = 456.7, where x is the total height of the mountain. Dividing both sides by 0.8 gives us x = 570.875 meters. Therefore, the mountain is 570.875 meters tall.