3) your college quadrangle is 85 meters long and 66 meters wide.

User Generated

Pevfgb

Mathematics

Description

User generated content is uploaded by users for the purposes of learning and should be used following Studypool's honor code & terms of service.

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.


Anonymous
Excellent! Definitely coming back for more study materials.

Studypool
4.7
Trustpilot
4.5
Sitejabber
4.4

Related Tags