The blocks in a city are all perfect squares. A friend gives you the following directions to a good restaurant; "go north 3 blocks, turn east and go 5 blocks, turn south and go 7 blocks, turn west and go 3 blocks." How far away (straight line distance) is the restaurant?

Answer: _____ blocks
in Calculus Answers by Level 1 User (940 points)

Your answer

Your name to display (optional):
Privacy: Your email address will only be used for sending these notifications.
Anti-spam verification:
To avoid this verification in future, please log in or register.

1 Answer

Best answer

A picture helps.

North means positive in the y direction, South is negative in the y direction, East is positive in the x direction and West is negative in the x direction.

So total x is 5-3=2 and total y is 3-7=-4.

So from the starting point S(0,0) we end up at (2,-4).

The straight line difference uses Pythagoras’ Theorem:

√(2²+(-4)²)=√(4+16)=√20=√(4×5)=2√5=4.4721 blocks approx.

Note that it’s 4+2=6 if you follow the dotted path (south 4 blocks and east 2 blocks), which is not the straight line distance shown by the solid red line.

by Top Rated User (660k points)
selected by

Related questions

1 answer
1 answer
3 answers
1 answer
asked Aug 15, 2012 in Word Problem Answers by anonymous | 430 views
4 answers
asked Nov 16, 2011 in Algebra 2 Answers by anonymous | 1.7k views
Welcome to MathHomeworkAnswers.org, where students, teachers and math enthusiasts can ask and answer any math question. Get help and answers to any math problem including algebra, trigonometry, geometry, calculus, trigonometry, fractions, solving expression, simplifying expressions and more. Get answers to math questions. Help is always 100% free!
83,173 questions
88,007 answers
1,978 comments
4,918 users