SOLUTION: We are standing on a roof and we throw a ball from a certain height.The height of the bounce of the ball is equal to 70% of the height from where we threw it. If the height of the

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Question 185198: We are standing on a roof and we throw a ball from a certain height.The height of the bounce of the ball is equal to 70% of the height from where we threw it.
If the height of the third bounce is 10.29m., at what height are we standing>????????????????????????????????? PLZZZZZZZZZZZZZZZ HELPPPPPPPPPPP !!!!!!!!!!!!! I ReALLY NEED HELPPPPPPPPPPPPPPPPPP !!!!!!!!!!

Found 2 solutions by vleith, solver91311:
Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
Each bounce results in the new height being 0.7 of the original height
HeightAtThirdZBounce=10.29m
so HeightAtSecondBound must be (10.29)/(0.7) = 14.7
and HeightAtFirstBound must be 14.7 / (0.7) = 21
finally originalHeight must be 21/(0.7) = 30m
Check your answer is 30%2A%280.7%29%2A%280.7%29%2A%280.7%29+=+10.29

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Let h be the height you are looking for. Then let be the height after the 1st bounce and be the height after the 2nd bounce. Then 70% of equals 10.29 m, which is then equal to 70% of , which is then equal to 70% of , so:




You can do your own arithmetic.

John