SOLUTION: you walk 4 miles at 30� and then 2 miles at 135�. what is the distance of your location from the starting point

Question 742668: you walk 4 miles at 30� and then 2 miles at 135�. what is the distance of your location from the starting point
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
you walk 4 miles at 30� and then 2 miles at 135�. what is the distance of your location from the starting point
------
Draw the picture on a coordinate system.
Label the triangle ABC where A is the origin, AB is the 4 mile length,
BC is the 135 degree line, CA is the distance from origin to final position.
----
Sketch a vertical line thru B to the x-axis at point X.
----
Angle ABX has to be 60 degrees.
Angle ABC has to be 180-60-45 = 75 degrees.
---
Use the Law of Cosines to solve for CA.
---
CA^2 = 4^2 + 2^2 - 2*4*2cos(75) = 17.929
------------------
CA = 4.23 miles
-----------------------
Cheers,
Stan H.
=======================
RELATED QUESTIONS
You start driving north for 24 miles, turn right, and drive east for another 10 miles. At (answered by josgarithmetic)

you bike 12 miles north & 2 miles east.What is the straight-line distance from your... (answered by rfer)

You bike 35 miles from A to B (due south) and then walk 12 miles from B to C at a bearing (answered by Theo)

You bike 35 miles from A to B (due south) and then walk 12 miles from B to C at a bearing (answered by ankor@dixie-net.com)

Suppose that you walk 2 miles due east and then 2 miles due south. How many miles a re... (answered by TimothyLamb)

If Lorenzo hiked 7 miles from a starting point, then turns 4 miles, what is the shortest... (answered by checkley71)

A man wandering in the desert walks 2.3 miles in the direction S 31° W. He then turns... (answered by Alan3354)

A man wandering in the desert walks 2.3 miles in the direction S 31° W. He then turns... (answered by Theo)

A man wandering in the desert walks 2.3 miles in the direction S 31° W. He then turns... (answered by Alan3354)