SOLUTION
Given the question in the image, the following are the solution steps to answer the question.
STEP 1: Write the given function
[tex]y=-16t^2+90t[/tex]
STEP 2: Plot the function on a graph
STEP 3: Define the vertex of the graph
The vertex is the y value of the maximum point on a graph.
STEP 4: Identify the vertex of the function/graph
Hence, from the image above, the maximum height is the y value of the vertex which is approximately 126.563
