SOLUTION: The carpenter drop a tool from the top of a building that is 200 feet high.The height of the above ground can be modeled by h= -16t^2 + 200 where h is the height I'm feet and t is

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Question 1090094: The carpenter drop a tool from the top of a building that is 200 feet high.The height of the above ground can be modeled by h= -16t^2 + 200 where h is the height I'm feet and t is the time in seconds,How long will it take for the tool to hit the ground?

Answer by ikleyn(52921) About Me  (Show Source):
You can put this solution on YOUR website!
.
To find the time under the question, solve the equation

-16%2At%5E2+%2B+200 = 0,   or, which is the same,

16%2At%5E2 = 200  ====>  t%5E2 = 200%2F16 = 12.5  ====>  t = sqrt%2812.5%29 = 3.54 seconds  (approximately).

Solved.