# SOLUTION: Please help me solve these problems 1) A rope connecting the top of a pole to the ground is 28yd.long and touches the ground 23yds. from the the pole.How tall is the pole? Round

Algebra ->  Algebra  -> Rectangles -> SOLUTION: Please help me solve these problems 1) A rope connecting the top of a pole to the ground is 28yd.long and touches the ground 23yds. from the the pole.How tall is the pole? Round      Log On

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 Question 590806: Please help me solve these problems 1) A rope connecting the top of a pole to the ground is 28yd.long and touches the ground 23yds. from the the pole.How tall is the pole? Round the approximations to the nearest tenth. (My answer 25.5 yd.) 2) If an object is dropped, the distance it falls is given by d=16t^2. Find the distance an object would fall in 8 seconds. (My answer 2048ft)Answer by jim_thompson5910(28595)   (Show Source): You can put this solution on YOUR website!# 1 We basically have this triangle set up: To find the unknown length, we need to use the Pythagorean Theorem. Remember, the Pythagorean Theorem is where "a" and "b" are the legs of a triangle and "c" is the hypotenuse. Since the legs are and this means that and Also, since the hypotenuse is , this means that . Start with the Pythagorean theorem. Plug in , , Square to get . Square to get . Subtract from both sides. Combine like terms. Take the square root of both sides. Note: only the positive square root is considered (since a negative length doesn't make sense). Use a calculator to evaluate the right side So the height of the pole is approximately 16.0 yards (rounded to the nearest tenth) ==================================================================== # 2 Start with the given equation Plug in Square 8 to get 64 Multiply The object has fallen 1024 feet in 8 seconds. -------------------------------------------------------------------------------------------------------------- If you need more help, email me at jim_thompson5910@hotmail.com Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you Jim --------------------------------------------------------------------------------------------------------------