a person walks 80 m east then turns right through angle 143 degrees walks further 50m and stops his position relative to the starting point is
Answers
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
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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