Question

Ricardo and Jane are standing under a tree in the middle of a pasture. An argument ensues, and they walk away in different directions. Ricardo walks 23.0 m in a direction 60.0 ^\circ west of north. Jane walks 14.0 m in a direction 30.0 ^\circ south of west. They then stop and turn to face each other.
A: What is the distance between them?
B: In what direction should Ricardo walk to go directly toward Jane?

Answer 1

a)

distance between them $d^2 =$ (bo cos theoreme)

$= 23^{\wedge}2 + 14^{\wedge}2 - 2^{*}14^{*}23^{*}\cos 60 = 403$

So $d = 20$

b)

by sin theorem

20/sin60=14/sina, where a is

Sina=0.7*sin60

Sina=0.6

a=arcsin0.6