- #1

dman_PL

- 15

- 0

I know I have to use the pythagorean theorem (at least i think so)

but I just can't get it set up right.

You are using an out of date browser. It may not display this or other websites correctly.

You should upgrade or use an alternative browser.

You should upgrade or use an alternative browser.

- Thread starter dman_PL
- Start date

- #1

dman_PL

- 15

- 0

I know I have to use the pythagorean theorem (at least i think so)

but I just can't get it set up right.

- #2

berkeman

Mentor

- 63,669

- 14,806

I know I have to use the pythagorean theorem (at least i think so)

but I just can't get it set up right.

Welcome to the PF.

Start by drawing the triangle that they describe. Label the lengths of the triangle, and see if you see how to do the trig...

- #3

dman_PL

- 15

- 0

- #4

berkeman

Mentor

- 63,669

- 14,806

Well, you know the distance that the plane flew (as you say, the hypoteneus). So you could draw a circle centered at the origin of that radius. And the car travels 370 total miles south and then west. Can you construct a sum of the south side and west side of the triangle that totals 370 miles that intersects that circle...? Think of it algebraically...

- #5

dman_PL

- 15

- 0

- #6

berkeman

Mentor

- 63,669

- 14,806

Probably. How far did the plane go?

And what equation can you write relating the x and y sides of the triangle to the hypoteneuse?

You should end up with a quadratic equation, and use the fact that you are given about "farther west than south" to help you pick which of the two solutions is correct...

- #7

dman_PL

- 15

- 0

As far as quadratic equations go, I was definitely not even thinking about that. All that is stuck on my paper is like x^2+y^2=c^2 with x being the west direction and y being the south.

- #8

berkeman

Mentor

- 63,669

- 14,806

As far as quadratic equations go, I was definitely not even thinking about that. All that is stuck on my paper is like x^2+y^2=c^2 with x being the west direction and y being the south.

Good. Use 270.8 miles for the hypoteneus.

Now, you correctly write the Pythagorean theorm for the sides of the triangle. There is one other equation you need to use, which is the sum of the x and y sides equals what?

Once you have the two equations, you need to solve them together to find x and 7.

I will be offline for a while. Have at it!

- #9

dman_PL

- 15

- 0

Share:

- Replies
- 14

- Views
- 905

- Replies
- 36

- Views
- 1K

- Last Post

- Replies
- 10

- Views
- 527

- Last Post

- Replies
- 4

- Views
- 691

- Replies
- 76

- Views
- 3K

- Last Post

- Replies
- 6

- Views
- 373

- Last Post

- Replies
- 7

- Views
- 408

- Last Post

- Replies
- 7

- Views
- 947

- Last Post

- Replies
- 9

- Views
- 326

- Last Post

- Replies
- 4

- Views
- 320