Step-by-step explanation:
To find the height at which the rocks are at the same height, we need to set the two height functions equal to each other and solve for x.
f(x) = g(x)
-4.9x^2 + 17 = -4.9x^2 + 13x
Simplifying the equation, we have:
0 = 13x - 17
Rearranging the equation:
13x = 17
Dividing both sides by 13:
x = 17/13
Now, we can substitute this value of x back into either f(x) or g(x) to find the height at that moment.
Using f(x) = -4.9x^2 + 17:
f(17/13) = -4.9(17/13)^2 + 17
Calculating this value, we get:
f(17/13) ≈ 16.5
Therefore, at the moment when the rocks are at the same height, the height is approximately 16.5 meters (rounded to the nearest tenth of a meter).