Solving this problem is just pretty straight forward. All we have to do is to use the concept of ratio and proportion.
First, let us say that the change in elevation in half an hour (30 minutes) takes the value of variable x.
From the given, we know that the ratio of height and time is:
152 m : 8 minutes
And the next ratio is:
x : 30 minutes
To solve for the value of x, we equate the two:
152 m : 8 minutes = x : 30 minutes
We know that the symbol of ratio which is “:” also means division, therefore:
152 m / 8 minutes = x / 30 minutes
x = 152 m * 30 minutes / 8 minutes
x = 570 m
Therefore the change in elevation after half an hour is 570 meters.