SOLUTION: Suppose you travel north for 35 kilometers then travel east 65 kilometers. How far are you from your starting point? North and east can be considered the directions of the y- and

Question 83270: Suppose you travel north for 35 kilometers then travel east 65 kilometers. How far are you from your starting point? North and east can be considered the directions of the y- and x-axis respectively. Round to the tenth's place.
Answer by bucky(2189) (Show Source): You can put this solution on YOUR website!
This is a Pythagorean theorem problem. Starting at the origin if you go up the y-axis (north)
35 units and then turn to the right and go horizontally to the right (east) 65 units you
have formed a right angle with two legs of 35 and 65 km respectively. The distance from
the point (65, 35) to the origin is the distance you are from the starting point. This
forms a right triangle with vertices at (0,0), (0,35), and (65, 35).
.
By the Pythagorean theorem if you square the two legs and add the squares, the result will
be the square of the distance from the origin to final point (65, 35). In equation form
this is:
.

.
where d is the distance the problem asks for. Doing the squares results in:
.

.
Adding the two terms on the left side results in:
.

.
Taking the square root of both sides gives:
.

.
Rounding this result to the nearest tenth makes the answer:
.
km
.
So after going north 35 km then east 65 km makes you 73.8 km from the starting point.
.
Hope this helps you to understand the problem and how you might be able solve it.

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