Question

A person walks 80 m east, then turns right through
angle 143° walks further 50 m and stops. His
position relative to the starting point is
(1) 50 m, 53° east of south
(2) 50 m, 53° south of east
(3) 30 m, 37° south of east
(4) 30 m, 53° south of east​

Answer 1

Answer:

50 m   ,   37° South to East  

Explanation:

       North

West           East

 

      South

    

S  _________80 m __________________

                                                    37°           /    143°

                                                                /                        

                                                          50  m

                                                           /

                                                      E

East = 80 m

180 - 143 = 37

South = 50Sin37 = 50 * 0.6 = 30 m   => 30 m South

West = 50 Cos37 = 50 * 0.8 = 40 m   => -40 m East

East = 80 - 40 = 40m

South = 30 m

Distance =  √40² + 30²  =  50 m

Angle = Tan⁻¹ (30/40) = 37°

=>  50 m   ,   37° South to East