- #1

EL ALEM

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## Homework Statement

Route follewed by hiker consists of displacement vectors A, B, C. Vector A is 1550 m long in a direction 25.0 N of E. Vector B is of unknown length but in a direction of 41.0 E of S. Vector C is also of unknown length but of direction 35.0 N of W. Hiker ends up where he started (A+B+C=0). Find magnitudes of B and C.

## Homework Equations

Sine law: (a/sinA)=(b/sinB)=(c/SinC)

## The Attempt at a Solution

Ok so i drew the triangle and figured out all of the interior angles:

A=14.0 degrees

B=60.0 degrees

C=106.0 degrees

Also i know side a=1550 m

I used the sin law to get

(a/sinA)=(b/sinB)

(1550/sin14)=(b/sin60)

b=(1550sin60/sin14)

b=5548.6477 m

(a/sinA)=(c/sinC)

(1550/sin14)=(c/sin106)

c=(1550sin106/sin14)

c=6158.829

I was just wondering if I did this right because the numbers look pretty big to me and would like someone to double check for me.

Thanks in advance.