Description
Explanation & Answer
Thank you for the opportunity to help you with your question!
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
This gives:
85^2 + 66^2= 11581
The square root becomes
= 107.615055 m
Calculate the time when using the shortcut:
Speed is 7 miles/hr
Distance is 107.615055 metres
Convert to Kilometers/Hour
1 mile =1.60934 Km
7 miles gives
1.60934 x 7 = 11.26538 Km/hr
we have distance we need to know time:
T=D/s
T=107.615055m/11.26538
Convert the meters to km
=0.1076/11.26538
0.00955139
Hours
Multiply by 3600 to get it in seconds
0.00955139 x 3600
t= 34.385004 s
The longer route would cost how much time?
The total distance is 66+85=151m
t=D/s
t= 151m/11.26538
151m = 0.151km
t=0.151/11.26538
t= 0.0134039 hr
Convert to seconds
t=0.0134039
x 3600
=48.25404 s
So he would have saved
saved time= 48.25404-34.385004
= 13.869036 seconds
Go through it and get the concept
Please let me know if you need any clarification. I'm always happy to answer your questions.
Review
Review
24/7 Homework Help
Stuck on a homework question? Our verified tutors can answer all questions, from basic math to advanced rocket science!
Similar Content
Related Tags
Good Kids Bad City
by Kyle Swenson
Hidden Figures
by Margot Lee Shetterly
The Red Badge of Courage
by Stephen Crane
Sense And Sensibility
by Jane Austen
The Curious Case of the Dog in the Night Time
by Mark Haddon
The Old Man and the Sea
by Ernest Hemmingway
Dune
by Frank Herbert
The Unwinding of the Miracle
by Julie Yip-Williams