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The shape is rectangular: I mean the quadrangle is a rectangle...
length 85m width 66m
cutting across means you make a right angled triangle and you travel through the hypotenuse;
For us to find the distance we can use the principles of trigonometry to get the length:
We have opposite, adjacent and hypotenuse sides: the adjacent is the base of a triangle and is 85M while opposite side is the height and is 66m
The hypotenuse is given by: The square root of base square + adjacent squared
85^2 + 66^2=
The square root becomes
Calculate the time when using the shortcut:
Speed is 7 miles/hr
Convert to Kilometers/Hour
1 mile =1.60934 Km
7 miles gives
1.60934 x 7 =
we have distance we need to know time:
Convert the meters to km
Multiply by 3600 to get it in seconds
The longer route would cost how much time?
The total distance is 66+85=151m
151m = 0.151km
Convert to seconds
So he would have saved
saved time= 48.25404-34.385004
Go through it and get the concept
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