When you drop a ball, it takes 42.495 seconds for it to reach the ground. How high up are you

Question

Let's say you've climbed Mt. Everest and want to see how high you are. 

When you drop a ball, it takes 42.495 seconds for it to reach the ground. How high up are you?

Answer 1

If there is no air resistance, you can set the height equal to gt^t/2 and calculate h.  Working in English units,

 

h = gt²/2 = (1/2)(32 ft/s²)(42.495 s)² ft = ? ft

 

In metric units,

 

h = (1/2)(9.8 m/s²)(42.495 s)² m = ? m