# Elevation

• June 20th 2010, 11:10 PM
winsome
Elevation
He went 4 miles to the west and again went 2 miles to north west. how many miles did he go from the initial point.
• June 20th 2010, 11:16 PM
Unknown008
If you made a simple sketch, I'm sure you'll see it better. The two different paths he took make two lines, and the total distance he is from his initial point makes a third line. In all, they make a triangle.

Since you know the directions he took, you'll see that the angle between the first two sides is 90 + 45 = 135 degrees.

Then, use the cosine rule to find the length of the last side of the triangle, which gives $\sqrt{4^2 + 2^2 - 2(4)(2)cos(135)} = 5.6\ miles$

Now, to find the direction from which he is from the initial point is obtained using the sine rule.
• June 20th 2010, 11:22 PM
winsome
can you give me its picture ?
• June 20th 2010, 11:35 PM
Unknown008
Here it is:

Attachment 17948
• June 20th 2010, 11:41 PM
winsome
Thanks a lot