SOLUTION: If it takes a football player 8 seconds to run the width and 15 seconds to run the lenght of the pitch.
How long does it take to run from one corner to adjacent or opposite corner
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Question 887740: If it takes a football player 8 seconds to run the width and 15 seconds to run the lenght of the pitch.
How long does it take to run from one corner to adjacent or opposite corner?
Answer by dadjosm(1) (Show Source): You can put this solution on YOUR website!
This is Easy!
Let Go.
==>The first step is to illustrate the question on your mind, by sketching a football field in your mind, it is RECTANGULAR right.
==>Second step is that for a shape which is rectangle it most posses a LENGHT=HEIGHT {the longest side} and a BREATH=WIDTH {the shortest side} right.
==>Third step is to divide rectangle into two from Two ALTERNATE ANGELS,
Now we have a RIGHT-ANGLED TRIANGLE with a LENGHT, BREATH AND HYPOTENUSE.
==>Fourth step is to name each angle
==>Fifth step is to assign the numerical value to the such that AB=8s {as it take 8 seconds for the player to cover the (width analogous to Breath) of the field}, BC=15s, and AC=x {unknown time in seconds}
==>Sixth step is for us to remember our PYTHAGORA's Theorem which says that IN A RIGHT-ANGLED TRIANGLE THE SQUARE OF THE LENGHTH OF THE HYPOTENUSE EQUALS THE RUN OF THE SQUARES OF THE OTHER TWO SIDES that is
H^2=L^2 B^2.
==>Seventh step is to apply this formula in our Question which will give
AC^2=AB^2 BC^2 that is
x^2=8^2 15^2.
==>For the last step is to solve the equation by finding our x
x = sqrt{8^2 15^2}, henceforth we could solve our question effortlessly by finding the square of 8 and 15 which is 64 and 225 respectively to give
x = sqrt{64 225} then by performing our addition we have 64 225 = 289 which we slot in our working to have
x = sqrt{289} and we find the square root of 289 which is 17 we have our
x = 17 therefore our
AC = 17s
==>In Conclusion for the Player to run from one corner to the other {adjacent or opposite} corner it is Seventeen seconds.
Hope you find this solution helpful any correction to any mistake i made should be forward to my email dadjosm@gmail.com, for No One Is Above Mistake
Thanks And Wishing You The Best In Your Education.
SEE YOU AT THE TOP.
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